315552640 has 256 divisors, whose sum is σ = 906837120. Its totient is φ = 103809024.

The previous prime is 315552577. The next prime is 315552659. The reversal of 315552640 is 46255513.

It is a super-2 number, since 2×315552640² = 199146937221939200, which contains 22 as substring.

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, 3253072 + ... + 3253168.

Almost surely, 2^315552640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453418560).

315552640 is an abundant number, since it is smaller than the sum of its proper divisors (591284480).

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

315552640 is a wasteful number, since it uses less digits than its factorization.

315552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 315552640 is about 17763.8013949717. The cubic root of 315552640 is about 680.8068853116.

The spelling of 315552640 in words is "three hundred fifteen million, five hundred fifty-two thousand, six hundred forty".