315920 has 40 divisors (see below), whose sum is σ = 803520. Its totient is φ = 114560.

The previous prime is 315907. The next prime is 315937. The reversal of 315920 is 29513.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 315892 and 315901.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 315920.

It is an unprimeable number.

315920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 701 + ... + 1059.

It is an arithmetic number, because the mean of its divisors is an integer number (20088).

2³¹⁵⁹²⁰ 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 315920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401760).

315920 is an abundant number, since it is smaller than the sum of its proper divisors (487600).

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

315920 is a wasteful number, since it uses less digits than its factorization.

315920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 315920 is about 562.0676115913. The cubic root of 315920 is about 68.1070976723.

The spelling of 315920 in words is "three hundred fifteen thousand, nine hundred twenty".