A Rotary Club is an organization comprising of local business and professional leaders. The clubs are all part of the "Rotary International" and their members are called Rotarians. I remember the Tom Hanks / Leo Di Caprio movie "Catch Me If You Can" starts off with Christopher Walken becoming a member of the New Rochelle (NY) Rotary Club, and he takes quite a pride in that. Later he even tries to use his membership as a plus point to get a loan from Chase Manhattan. But that was in the 60s, and I believe the club's social influence is no longer that effective.

The first Rotary Club was founded in 1905 in Chicago by attorney Paul Harris and three other businessmen. More information here from Wikipedia.