315084960 has 72 divisors (see below), whose sum is σ = 1075232340. Its totient is φ = 84022272.

The previous prime is 315084949. The next prime is 315084967. The reversal of 315084960 is 69480513.

It can be written as a sum of positive squares in 2 ways, for example, as 314140176 + 944784 = 17724^2 + 972^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (315084967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107965 + ... + 110844.

Almost surely, 2^315084960 is an apocalyptic number.

315084960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315084960 is an abundant number, since it is smaller than the sum of its proper divisors (760147380).

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

315084960 is a wasteful number, since it uses less digits than its factorization.

315084960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218830 (or 218819 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 315084960 is about 17750.6326647813. The cubic root of 315084960 is about 680.4703781247.

The spelling of 315084960 in words is "three hundred fifteen million, eighty-four thousand, nine hundred sixty".