315880 has 32 divisors (see below), whose sum is σ = 729000. Its totient is φ = 123136.

The previous prime is 315857. The next prime is 315881. The reversal of 315880 is 88513.

315880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 224676 + 91204 = 474^2 + 302^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (315881) by changing a digit.

315880 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, 2046 + ... + 2194.

2³¹⁵⁸⁸⁰ 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 315880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364500).

315880 is an abundant number, since it is smaller than the sum of its proper divisors (413120).

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

315880 is a wasteful number, since it uses less digits than its factorization.

315880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 315880 is about 562.0320275571. The cubic root of 315880 is about 68.1042231060.

The spelling of 315880 in words is "three hundred fifteen thousand, eight hundred eighty".