315968256 has 144 divisors (see below), whose sum is σ = 989704800. Its totient is φ = 99090432.

The previous prime is 315968251. The next prime is 315968291. The reversal of 315968256 is 652869513.

315968256 is a `hidden beast` number, since 3 + 1 + 596 + 8 + 2 + 56 = 666.

315968256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (315968251) by changing a digit.

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, 116160 + ... + 118848.

It is an arithmetic number, because the mean of its divisors is an integer number (6872950).

Almost surely, 2^315968256 is an apocalyptic number.

315968256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315968256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494852400).

315968256 is an abundant number, since it is smaller than the sum of its proper divisors (673736544).

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

315968256 is a wasteful number, since it uses less digits than its factorization.

315968256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2711 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 315968256 is about 17775.4959424484. The cubic root of 315968256 is about 681.1056522606.

The spelling of 315968256 in words is "three hundred fifteen million, nine hundred sixty-eight thousand, two hundred fifty-six".