315268640 has 24 divisors (see below), whose sum is σ = 744822540. Its totient is φ = 126107392.

The previous prime is 315268637. The next prime is 315268643. The reversal of 315268640 is 46862513.

It is an interprime number because it is at equal distance from previous prime (315268637) and next prime (315268643).

It can be written as a sum of positive squares in 2 ways, for example, as 300120976 + 15147664 = 17324^2 + 3892^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 315268640.

It is not an unprimeable number, because it can be changed into a prime (315268643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 985055 + ... + 985374.

Almost surely, 2^315268640 is an apocalyptic number.

It is an amenable number.

315268640 is an abundant number, since it is smaller than the sum of its proper divisors (429553900).

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

315268640 is a wasteful number, since it uses less digits than its factorization.

315268640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970444 (or 1970436 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 315268640 is about 17755.8058110580. The cubic root of 315268640 is about 680.6025800545.

Subtracting from 315268640 its sum of digits (35), we obtain a triangular number (315268605 = T₂₅₁₁₀).

The spelling of 315268640 in words is "three hundred fifteen million, two hundred sixty-eight thousand, six hundred forty".