315648720 has 60 divisors (see below), whose sum is σ = 1060056036. Its totient is φ = 84172800.

The previous prime is 315648703. The next prime is 315648737. The reversal of 315648720 is 27846513.

315648720 is a `hidden beast` number, since 3 + 1 + 5 + 648 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (315648703) and next prime (315648737).

It can be written as a sum of positive squares in 2 ways, for example, as 73410624 + 242238096 = 8568^2 + 15564^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×315648720² = 199268228875276800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218481 + ... + 219920.

Almost surely, 2^315648720 is an apocalyptic number.

315648720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315648720 is an abundant number, since it is smaller than the sum of its proper divisors (744407316).

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

315648720 is a wasteful number, since it uses less digits than its factorization.

315648720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438420 (or 438411 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 315648720 is about 17766.5055652483. The cubic root of 315648720 is about 680.8759760427.

The spelling of 315648720 in words is "three hundred fifteen million, six hundred forty-eight thousand, seven hundred twenty".