288564 has 24 divisors (see below), whose sum is σ = 682080. Its totient is φ = 94944.

The previous prime is 288559. The next prime is 288571. The reversal of 288564 is 465882.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288564.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1582 + ... + 1754.

It is an arithmetic number, because the mean of its divisors is an integer number (28420).

2²⁸⁸⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

288564 is an abundant number, since it is smaller than the sum of its proper divisors (393516).

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

288564 is a wasteful number, since it uses less digits than its factorization.

288564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 317 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 288564 is about 537.1815335620. The cubic root of 288564 is about 66.0816253628.

The spelling of 288564 in words is "two hundred eighty-eight thousand, five hundred sixty-four".