315813120 has 288 divisors, whose sum is σ = 1193041920. Its totient is φ = 69672960.

The previous prime is 315813109. The next prime is 315813133. The reversal of 315813120 is 21318513.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 833091 + ... + 833469.

Almost surely, 2^315813120 is an apocalyptic number.

315813120 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 315813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596520960).

315813120 is an abundant number, since it is smaller than the sum of its proper divisors (877228800).

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

315813120 is a wasteful number, since it uses less digits than its factorization.

315813120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 315813120 is about 17771.1316465778. The cubic root of 315813120 is about 680.9941628917.

The spelling of 315813120 in words is "three hundred fifteen million, eight hundred thirteen thousand, one hundred twenty".