915264 has 84 divisors (see below), whose sum is σ = 3011424. Its totient is φ = 260352.

The previous prime is 915259. The next prime is 915283. The reversal of 915264 is 462519.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is an unprimeable number.

915264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3919 + ... + 4145.

2⁹¹⁵²⁶⁴ 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 915264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505712).

915264 is an abundant number, since it is smaller than the sum of its proper divisors (2096160).

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

915264 is a wasteful number, since it uses less digits than its factorization.

915264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 239 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 915264 is about 956.6943085437. The cubic root of 915264 is about 97.0917048211.

It can be divided in two parts, 9152 and 64, that added together give a square (9216 = 96²).

The spelling of 915264 in words is "nine hundred fifteen thousand, two hundred sixty-four".