564688 has 20 divisors (see below), whose sum is σ = 1132740. Its totient is φ = 272384.

The previous prime is 564679. The next prime is 564701. The reversal of 564688 is 886465.

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 322624 = 492^2 + 568^2 .

It is a congruent number.

It is an unprimeable number.

564688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 145 + ... + 1072.

It is an arithmetic number, because the mean of its divisors is an integer number (56637).

2⁵⁶⁴⁶⁸⁸ is an apocalyptic number.

564688 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

564688 is an abundant number, since it is smaller than the sum of its proper divisors (568052).

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

564688 is a wasteful number, since it uses less digits than its factorization.

564688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1248 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 564688 is about 751.4572509465. The cubic root of 564688 is about 82.6550741057.

The spelling of 564688 in words is "five hundred sixty-four thousand, six hundred eighty-eight".