Fait général: 6024 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Fait mathématique: 6024 is a value of n for which |cos(n)| is smaller than any previous integer.
Culture générale: 6024 is an unremarkable number.
Date historique: June 28th is the day in 1978 that the United States Supreme Court, in Regents of the University of California v. Bakke bars quota systems in college admissions.