315375660 has 96 divisors (see below), whose sum is σ = 987463680. Its totient is φ = 83560896.

The previous prime is 315375637. The next prime is 315375707. The reversal of 315375660 is 66573513.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86229 + ... + 89811.

It is an arithmetic number, because the mean of its divisors is an integer number (10286080).

Almost surely, 2^315375660 is an apocalyptic number.

315375660 is a gapful number since it is divisible by the number (30) 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 315375660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493731840).

315375660 is an abundant number, since it is smaller than the sum of its proper divisors (672088020).

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

315375660 is a wasteful number, since it uses less digits than its factorization.

315375660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 315375660 is about 17758.8192175043. The cubic root of 315375660 is about 680.6795830066.

It can be divided in two parts, 3153756 and 60, that added together give a triangular number (3153816 = T₂₅₁₁).

The spelling of 315375660 in words is "three hundred fifteen million, three hundred seventy-five thousand, six hundred sixty".