564800661 has 16 divisors (see below), whose sum is σ = 837203520. Its totient is φ = 376326000.

The previous prime is 564800659. The next prime is 564800681. The reversal of 564800661 is 166008465.

564800661 is a `hidden beast` number, since 5 + 648 + 0 + 0 + 6 + 6 + 1 = 666.

It is not a de Polignac number, because 564800661 - 2¹ = 564800659 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564800681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56131 + ... + 65423.

It is an arithmetic number, because the mean of its divisors is an integer number (52325220).

Almost surely, 2^564800661 is an apocalyptic number.

It is an amenable number.

564800661 is a deficient number, since it is larger than the sum of its proper divisors (272402859).

564800661 is a wasteful number, since it uses less digits than its factorization.

564800661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11553 (or 11547 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 564800661 is about 23765.5351507177. The cubic root of 564800661 is about 826.6057058288.

The spelling of 564800661 in words is "five hundred sixty-four million, eight hundred thousand, six hundred sixty-one".