285264 has 60 divisors (see below), whose sum is σ = 915616. Its totient is φ = 81216.

The previous prime is 285251. The next prime is 285281. The reversal of 285264 is 462582.

It is a congruent number.

It is an unprimeable number.

285264 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 867 + ... + 1149.

2²⁸⁵²⁶⁴ is an apocalyptic number.

285264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457808).

285264 is an abundant number, since it is smaller than the sum of its proper divisors (630352).

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

285264 is a wasteful number, since it uses less digits than its factorization.

285264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 295 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 285264 is about 534.1011140224. The cubic root of 285264 is about 65.8287571816.

It can be divided in two parts, 2852 and 64, that added together give a square (2916 = 54²).

The spelling of 285264 in words is "two hundred eighty-five thousand, two hundred sixty-four".