315368000 has 112 divisors (see below), whose sum is σ = 792480000. Its totient is φ = 124300800.

The previous prime is 315367993. The next prime is 315368033. The reversal of 315368000 is 863513.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631751 + ... + 632249.

Almost surely, 2^315368000 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 315368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396240000).

315368000 is an abundant number, since it is smaller than the sum of its proper divisors (477112000).

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

315368000 is an equidigital number, since it uses as much as digits as its factorization.

315368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 315368000 is about 17758.6035487028. The cubic root of 315368000 is about 680.6740720678.

The spelling of 315368000 in words is "three hundred fifteen million, three hundred sixty-eight thousand".