565560864 has 144 divisors (see below), whose sum is σ = 1766681280. Its totient is φ = 170196480.

The previous prime is 565560851. The next prime is 565560881. The reversal of 565560864 is 468065565.

It is a happy number.

565560864 is a `hidden beast` number, since 5 + 6 + 5 + 560 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×565560864³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528522 + ... + 529590.

It is an arithmetic number, because the mean of its divisors is an integer number (12268620).

Almost surely, 2^565560864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 565560864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883340640).

565560864 is an abundant number, since it is smaller than the sum of its proper divisors (1201120416).

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

565560864 is a wasteful number, since it uses less digits than its factorization.

565560864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 565560864 is about 23781.5235844973. The cubic root of 565560864 is about 826.9764008731.

The spelling of 565560864 in words is "five hundred sixty-five million, five hundred sixty thousand, eight hundred sixty-four".