18800564 has 12 divisors (see below), whose sum is σ = 33601344. Its totient is φ = 9200184.

The previous prime is 18800563. The next prime is 18800567. The reversal of 18800564 is 46500881.

18800564 = 8² + 9² + ... + 383².

It is a super-2 number, since 2×18800564² = 706922413436192, which contains 22 as substring.

18800564 is a modest number, since divided by 564 gives 188 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 18800564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18800563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49814 + ... + 50189.

It is an arithmetic number, because the mean of its divisors is an integer number (2800112).

Almost surely, 2^18800564 is an apocalyptic number.

It is an amenable number.

18800564 is a deficient number, since it is larger than the sum of its proper divisors (14800780).

18800564 is a wasteful number, since it uses less digits than its factorization.

18800564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100054 (or 100052 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 18800564 is about 4335.9617156981. The cubic root of 18800564 is about 265.9032380261.

The spelling of 18800564 in words is "eighteen million, eight hundred thousand, five hundred sixty-four".