315968520 has 64 divisors (see below), whose sum is σ = 1083323520. Its totient is φ = 72221184.

The previous prime is 315968519. The next prime is 315968551. The reversal of 315968520 is 25869513.

It is a super-2 number, since 2×315968520² = 199672211261980800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187237 + ... + 188916.

It is an arithmetic number, because the mean of its divisors is an integer number (16926930).

Almost surely, 2^315968520 is an apocalyptic number.

315968520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315968520 is an abundant number, since it is smaller than the sum of its proper divisors (767355000).

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

315968520 is a wasteful number, since it uses less digits than its factorization.

315968520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376174 (or 376170 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 315968520 is about 17775.5033684000. The cubic root of 315968520 is about 681.1058419546.

The spelling of 315968520 in words is "three hundred fifteen million, nine hundred sixty-eight thousand, five hundred twenty".