315520 has 64 divisors (see below), whose sum is σ = 826200. Its totient is φ = 114688.

The previous prime is 315517. The next prime is 315521. The reversal of 315520 is 25513.

315520 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 287296 + 28224 = 536^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 315494 and 315503.

It is not an unprimeable number, because it can be changed into a prime (315521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10866 + ... + 10894.

2³¹⁵⁵²⁰ 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 315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413100).

315520 is an abundant number, since it is smaller than the sum of its proper divisors (510680).

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

315520 is a wasteful number, since it uses less digits than its factorization.

315520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 315520 is about 561.7116698093. The cubic root of 315520 is about 68.0783410831.

The spelling of 315520 in words is "three hundred fifteen thousand, five hundred twenty".