64564000 has 48 divisors (see below), whose sum is σ = 158643576. Its totient is φ = 25824000.

The previous prime is 64563997. The next prime is 64564009. The reversal of 64564000 is 46546.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16289296 + 48274704 = 4036^2 + 6948^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (64564009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4071 + ... + 12070.

Almost surely, 2^64564000 is an apocalyptic number.

It is an amenable number.

64564000 is an abundant number, since it is smaller than the sum of its proper divisors (94079576).

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

64564000 is a wasteful number, since it uses less digits than its factorization.

64564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16166 (or 16148 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 64564000 is about 8035.1726801606. The cubic root of 64564000 is about 401.1715652371.

The spelling of 64564000 in words is "sixty-four million, five hundred sixty-four thousand".