6456564 has 48 divisors (see below), whose sum is σ = 16880640. Its totient is φ = 2134080.

The previous prime is 6456563. The next prime is 6456577. The reversal of 6456564 is 4656546.

It is a happy number.

6456564 is a `hidden beast` number, since 645 + 6 + 5 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6456563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20472 + ... + 20784.

It is an arithmetic number, because the mean of its divisors is an integer number (351680).

Almost surely, 2^6456564 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 6456564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8440320).

6456564 is an abundant number, since it is smaller than the sum of its proper divisors (10424076).

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

6456564 is a wasteful number, since it uses less digits than its factorization.

6456564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 509 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 6456564 is about 2540.9769774636. The cubic root of 6456564 is about 186.2089223705.

The spelling of 6456564 in words is "six million, four hundred fifty-six thousand, five hundred sixty-four".