315560 has 64 divisors (see below), whose sum is σ = 864000. Its totient is φ = 103488.

The previous prime is 315559. The next prime is 315569. The reversal of 315560 is 65513.

315560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×315560² = 199156227200, which contains 22 as substring.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 315560.

It is not an unprimeable number, because it can be changed into a prime (315569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13709 + ... + 13731.

It is an arithmetic number, because the mean of its divisors is an integer number (13500).

2³¹⁵⁵⁶⁰ 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 315560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432000).

315560 is an abundant number, since it is smaller than the sum of its proper divisors (548440).

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

315560 is a wasteful number, since it uses less digits than its factorization.

315560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 315560 is about 561.7472741367. The cubic root of 315560 is about 68.0812178353.

Subtracting from 315560 its reverse (65513), we obtain a cube (250047 = 63³).

It can be divided in two parts, 315 and 560, that multiplied together give a square (176400 = 420²).

The spelling of 315560 in words is "three hundred fifteen thousand, five hundred sixty".