315963648 has 432 divisors, whose sum is σ = 1232090496. Its totient is φ = 75202560.

The previous prime is 315963631. The next prime is 315963667. The reversal of 315963648 is 846369513.

315963648 is a `hidden beast` number, since 3 + 1 + 5 + 9 + 636 + 4 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2306236 + ... + 2306372.

Almost surely, 2^315963648 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 315963648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616045248).

315963648 is an abundant number, since it is smaller than the sum of its proper divisors (916126848).

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

315963648 is a wasteful number, since it uses less digits than its factorization.

315963648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 315963648 is about 17775.3663253391. The cubic root of 315963648 is about 681.1023412211.

The spelling of 315963648 in words is "three hundred fifteen million, nine hundred sixty-three thousand, six hundred forty-eight".