315568960 has 112 divisors (see below), whose sum is σ = 909425664. Its totient is φ = 101818368.

The previous prime is 315568937. The next prime is 315568973. The reversal of 315568960 is 69865513.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 33937 + ... + 42223.

It is an arithmetic number, because the mean of its divisors is an integer number (8119872).

Almost surely, 2^315568960 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 315568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454712832).

315568960 is an abundant number, since it is smaller than the sum of its proper divisors (593856704).

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

315568960 is a wasteful number, since it uses less digits than its factorization.

315568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8328 (or 8318 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The square root of 315568960 is about 17764.2607501691. The cubic root of 315568960 is about 680.8186219449.

The spelling of 315568960 in words is "three hundred fifteen million, five hundred sixty-eight thousand, nine hundred sixty".