315624960 has 480 divisors, whose sum is σ = 1327772160. Its totient is φ = 67682304.

The previous prime is 315624949. The next prime is 315624961. The reversal of 315624960 is 69426513.

It is a happy number.

315624960 is a `hidden beast` number, since 3 + 1 + 562 + 4 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315624961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3064269 + ... + 3064371.

It is an arithmetic number, because the mean of its divisors is an integer number (2766192).

Almost surely, 2^315624960 is an apocalyptic number.

315624960 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 315624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663886080).

315624960 is an abundant number, since it is smaller than the sum of its proper divisors (1012147200).

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

315624960 is a wasteful number, since it uses less digits than its factorization.

315624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 315624960 is about 17765.8368786838. The cubic root of 315624960 is about 680.8588916299.

The spelling of 315624960 in words is "three hundred fifteen million, six hundred twenty-four thousand, nine hundred sixty".