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(Abridged) We present results from 13776 radial-velocity (RV) measurements of1278 candidate members of the old (4 Gyr) open cluster M67 (NGC 2682). Themeasurements are the results of a long-term survey that includes data fromseven telescopes with observations for some stars spanning over 40 years. Fornarrow-lined stars, RVs are measured with precisions ranging from about 0.1 to0.8 km/s. The combined stellar sample reaches from the brightest giants in thecluster down to about 4 magnitudes below the main-sequence turnoff (V = 16.5),covering a mass range of about 1.34 MSun to 0.76 MSun. Spatially, the sampleextends to a radius of 30 arcmin (7.4 pc in projection at a distant of 850 pcor 6-7 core radii). We find M67 to have a mean RV of +33.64 km/s (with aninternal precision of +/- 0.03 km/s). For stars with >=3 measurements, wederive RV membership probabilities and identify RV variables, finding 562cluster members, 142 of which show significant RV variability. We use thesecluster members to construct a color-magnitude diagram and identify a richsample of stars that lie far from the standard single star isochrone, includingthe well-known blue stragglers, sub-subgiants and yellow giants. These exoticstars have a binary frequency of (at least) 80%, more than three times thatdetected for stars in the remainder of the sample. We confirm that the clusteris mass segregated, finding the binaries to be more centrally concentrated thanthe single stars in our sample at the 99.8% confidence level. The bluestragglers are centrally concentrated as compared to the solar-typemain-sequence single stars in the cluster at the 99.7% confidence level.Accounting for both measurement precision and undetected binaries, we derive aRV dispersion in M67 of 0.59 +0.07 -0.06 km/s, which yields a virial mass forthe cluster of 2100 +610 -550 MSun.  WIYN Open Cluster Study. LXVII.

Stellar Radial Velocities in the Old Open Cluster M67 (NGC 2682) I. Memberships, Binaries, and Kinematics