508768 has 24 divisors (see below), whose sum is σ = 1079568. Its totient is φ = 234624.

The previous prime is 508727. The next prime is 508771. The reversal of 508768 is 867805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 196 + ... + 1027.

It is an arithmetic number, because the mean of its divisors is an integer number (44982).

2⁵⁰⁸⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

508768 is an abundant number, since it is smaller than the sum of its proper divisors (570800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

508768 is a wasteful number, since it uses less digits than its factorization.

508768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 508768 is about 713.2797487662. The cubic root of 508768 is about 79.8313112179.

The spelling of 508768 in words is "five hundred eight thousand, seven hundred sixty-eight".