315600 has 60 divisors (see below), whose sum is σ = 1014816. Its totient is φ = 83840.

The previous prime is 315599. The next prime is 315613. The reversal of 315600 is 6513.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 315600.

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 315600.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1069 + ... + 1331.

2³¹⁵⁶⁰⁰ is an apocalyptic number.

315600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507408).

315600 is an abundant number, since it is smaller than the sum of its proper divisors (699216).

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

315600 is a wasteful number, since it uses less digits than its factorization.

315600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 315600 is about 561.7828762075. The cubic root of 315600 is about 68.0840943444.

Adding to 315600 its sum of digits (15), we get a triangular number (315615 = T₇₉₄).

The spelling of 315600 in words is "three hundred fifteen thousand, six hundred".