315663120 has 120 divisors (see below), whose sum is σ = 1064771136. Its totient is φ = 83806464.

The previous prime is 315663113. The next prime is 315663133. The reversal of 315663120 is 21366513.

315663120 is a `hidden beast` number, since 3 + 1 + 5 + 6 + 631 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188527 + ... + 190193.

Almost surely, 2^315663120 is an apocalyptic number.

315663120 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 315663120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532385568).

315663120 is an abundant number, since it is smaller than the sum of its proper divisors (749108016).

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

315663120 is a wasteful number, since it uses less digits than its factorization.

315663120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 315663120 is about 17766.9108175845. The cubic root of 315663120 is about 680.8863298150.

The spelling of 315663120 in words is "three hundred fifteen million, six hundred sixty-three thousand, one hundred twenty".