564008 has 8 divisors (see below), whose sum is σ = 1057530. Its totient is φ = 282000.

The previous prime is 563999. The next prime is 564013. The reversal of 564008 is 800465.

It can be written as a sum of positive squares in only one way, i.e., 432964 + 131044 = 658^2 + 362^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

564008 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 as a sum of consecutive naturals, namely, 35243 + ... + 35258.

2⁵⁶⁴⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

564008 is a deficient number, since it is larger than the sum of its proper divisors (493522).

564008 is a wasteful number, since it uses less digits than its factorization.

564008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70507 (or 70503 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 564008 is about 751.0046604383. The cubic root of 564008 is about 82.6218829002.

The spelling of 564008 in words is "five hundred sixty-four thousand, eight".