315971920 has 80 divisors (see below), whose sum is σ = 806876928. Its totient is φ = 114117120.

The previous prime is 315971917. The next prime is 315971947. The reversal of 315971920 is 29179513.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 315971920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137017 + ... + 139303.

Almost surely, 2^315971920 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 315971920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403438464).

315971920 is an abundant number, since it is smaller than the sum of its proper divisors (490905008).

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

315971920 is a wasteful number, since it uses less digits than its factorization.

315971920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 37.

The square root of 315971920 is about 17775.5990053781. The cubic root of 315971920 is about 681.1082849738.

The spelling of 315971920 in words is "three hundred fifteen million, nine hundred seventy-one thousand, nine hundred twenty".