315264 has 32 divisors (see below), whose sum is σ = 838440. Its totient is φ = 104960.

The previous prime is 315257. The next prime is 315269. The reversal of 315264 is 462513.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 315264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315269) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27 + ... + 794.

2³¹⁵²⁶⁴ 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 315264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419220).

315264 is an abundant number, since it is smaller than the sum of its proper divisors (523176).

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

315264 is an equidigital number, since it uses as much as digits as its factorization.

315264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 826 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 315264 is about 561.4837486517. The cubic root of 315264 is about 68.0599241091.

Adding to 315264 its reverse (462513), we get a palindrome (777777).

The spelling of 315264 in words is "three hundred fifteen thousand, two hundred sixty-four".