315668040 has 64 divisors (see below), whose sum is σ = 977564160. Its totient is φ = 81461760.

The previous prime is 315668039. The next prime is 315668047. The reversal of 315668040 is 40866513.

It is a super-2 number, since 2×315668040² = 199292622954883200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 315667992 and 315668010.

It is not an unprimeable number, because it can be changed into a prime (315668047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38709 + ... + 46148.

It is an arithmetic number, because the mean of its divisors is an integer number (15274440).

Almost surely, 2^315668040 is an apocalyptic number.

315668040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315668040 is an abundant number, since it is smaller than the sum of its proper divisors (661896120).

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

315668040 is a wasteful number, since it uses less digits than its factorization.

315668040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84902 (or 84898 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 315668040 is about 17767.0492766807. The cubic root of 315668040 is about 680.8898672817.

The spelling of 315668040 in words is "three hundred fifteen million, six hundred sixty-eight thousand, forty".