315168 has 72 divisors (see below), whose sum is σ = 976752. Its totient is φ = 88704.

The previous prime is 315127. The next prime is 315179. The reversal of 315168 is 861513.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 315168.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4671 + ... + 4737.

It is an arithmetic number, because the mean of its divisors is an integer number (13566).

2³¹⁵¹⁶⁸ 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 315168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488376).

315168 is an abundant number, since it is smaller than the sum of its proper divisors (661584).

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

315168 is a wasteful number, since it uses less digits than its factorization.

315168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 79 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 315168 is about 561.3982543614. The cubic root of 315168 is about 68.0530151735.

The spelling of 315168 in words is "three hundred fifteen thousand, one hundred sixty-eight".