507868680 has 128 divisors (see below), whose sum is σ = 1685836800. Its totient is φ = 121363200.

The previous prime is 507868679. The next prime is 507868721. The reversal of 507868680 is 86868705.

It is a happy number.

It is a super-2 number, since 2×507868680² = 515861192249884800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91011 + ... + 96429.

It is an arithmetic number, because the mean of its divisors is an integer number (13170600).

Almost surely, 2^507868680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507868680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842918400).

507868680 is an abundant number, since it is smaller than the sum of its proper divisors (1177968120).

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

507868680 is a wasteful number, since it uses less digits than its factorization.

507868680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5515 (or 5511 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 507868680 is about 22535.9419594567. The cubic root of 507868680 is about 797.8424573263.

The spelling of 507868680 in words is "five hundred seven million, eight hundred sixty-eight thousand, six hundred eighty".