315163840 has 56 divisors (see below), whose sum is σ = 763249680. Its totient is φ = 123921408.

The previous prime is 315163837. The next prime is 315163847. The reversal of 315163840 is 48361513.

It is a super-3 number, since 3×315163840³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (315163847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10534 + ... + 27226.

Almost surely, 2^315163840 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 315163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381624840).

315163840 is an abundant number, since it is smaller than the sum of its proper divisors (448085840).

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

315163840 is a wasteful number, since it uses less digits than its factorization.

315163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16769 (or 16759 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 315163840 is about 17752.8544183745. The cubic root of 315163840 is about 680.5271575458.

The spelling of 315163840 in words is "three hundred fifteen million, one hundred sixty-three thousand, eight hundred forty".