64800576 has 42 divisors (see below), whose sum is σ = 185740802. Its totient is φ = 21600000.

The previous prime is 64800553. The next prime is 64800599. The reversal of 64800576 is 67500846.

It is a happy number.

64800576 is a `hidden beast` number, since 6 + 4 + 80 + 0 + 576 = 666.

64800576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64800553) and next prime (64800599).

It can be written as a sum of positive squares in only one way, i.e., 41990400 + 22810176 = 6480^2 + 4776^2 .

It is a super-2 number, since 2×64800576² = 8398229299863552, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 64800576.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 55675 + ... + 56826.

Almost surely, 2^64800576 is an apocalyptic number.

It is an amenable number.

64800576 is an abundant number, since it is smaller than the sum of its proper divisors (120940226).

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

64800576 is a wasteful number, since it uses less digits than its factorization.

64800576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112519 (or 112506 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 64800576 is about 8049.8804960074. The cubic root of 64800576 is about 401.6609601488.

The spelling of 64800576 in words is "sixty-four million, eight hundred thousand, five hundred seventy-six".