315296 has 24 divisors (see below), whose sum is σ = 635040. Its totient is φ = 154048.

The previous prime is 315281. The next prime is 315313. The reversal of 315296 is 692513.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 315296.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1805 + ... + 1971.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2³¹⁵²⁹⁶ 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 315296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520).

315296 is an abundant number, since it is smaller than the sum of its proper divisors (319744).

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

315296 is a wasteful number, since it uses less digits than its factorization.

315296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 228 counting only the distinct ones).

The product of its digits is 1620, while the sum is 26.

The square root of 315296 is about 561.5122438558. The cubic root of 315296 is about 68.0622267760.

The spelling of 315296 in words is "three hundred fifteen thousand, two hundred ninety-six".