315864 has 48 divisors (see below), whose sum is σ = 884520. Its totient is φ = 101760.

The previous prime is 315857. The next prime is 315881. The reversal of 315864 is 468513.

315864 = T₂₇₇ + T₂₇₈ + ... + T₂₈₄.

Its product of digits (2880) is a multiple of the sum of its prime factors (160).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 315864.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2899 + ... + 3005.

2³¹⁵⁸⁶⁴ 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 315864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442260).

315864 is an abundant number, since it is smaller than the sum of its proper divisors (568656).

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

315864 is a wasteful number, since it uses less digits than its factorization.

315864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 153 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 315864 is about 562.0177933126. The cubic root of 315864 is about 68.1030732116.

The spelling of 315864 in words is "three hundred fifteen thousand, eight hundred sixty-four".