585264 has 40 divisors (see below), whose sum is σ = 1540080. Its totient is φ = 191488.

The previous prime is 585251. The next prime is 585269. The reversal of 585264 is 462585.

It is not an unprimeable number, because it can be changed into a prime (585269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4204 + ... + 4340.

It is an arithmetic number, because the mean of its divisors is an integer number (38502).

2⁵⁸⁵²⁶⁴ 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 585264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770040).

585264 is an abundant number, since it is smaller than the sum of its proper divisors (954816).

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

585264 is a wasteful number, since it uses less digits than its factorization.

585264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 585264 is about 765.0254897714. The cubic root of 585264 is about 83.6470450928.

The spelling of 585264 in words is "five hundred eighty-five thousand, two hundred sixty-four".