The Collaborative International Dictionary of English v.0.48:
Approachability \Ap*proach`a*bil"i*ty\, n. The quality of being approachable; approachableness. [1913 Webster]WordNet (r) 3.0 (2006):
approachability n 1: the attribute of being easy to meet or deal with [syn: approachability, accessibility] [ant: unapproachability]