315365680 has 40 divisors (see below), whose sum is σ = 837973152. Its totient is φ = 108125184.

The previous prime is 315365641. The next prime is 315365731. The reversal of 315365680 is 86563513.

315365680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 281017 + ... + 282136.

Almost surely, 2^315365680 is an apocalyptic number.

It is an amenable number.

315365680 is an abundant number, since it is smaller than the sum of its proper divisors (522607472).

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

315365680 is a wasteful number, since it uses less digits than its factorization.

315365680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563173 (or 563167 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 315365680 is about 17758.5382281313. The cubic root of 315365680 is about 680.6724029408.

The spelling of 315365680 in words is "three hundred fifteen million, three hundred sixty-five thousand, six hundred eighty".