560232864 has 72 divisors (see below), whose sum is σ = 1595516832. Its totient is φ = 186468480.

The previous prime is 560232851. The next prime is 560232877. The reversal of 560232864 is 468232065.

560232864 is a `hidden beast` number, since 560 + 2 + 32 + 8 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (560232851) and next prime (560232877).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×560232864⁴ (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313317 + ... + 315099.

It is an arithmetic number, because the mean of its divisors is an integer number (22159956).

Almost surely, 2^560232864 is an apocalyptic number.

It is an amenable number.

560232864 is an abundant number, since it is smaller than the sum of its proper divisors (1035283968).

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

560232864 is a wasteful number, since it uses less digits than its factorization.

560232864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 560232864 is about 23669.2387710294. The cubic root of 560232864 is about 824.3712940078.

The spelling of 560232864 in words is "five hundred sixty million, two hundred thirty-two thousand, eight hundred sixty-four".