6564672 has 112 divisors (see below), whose sum is σ = 20116800. Its totient is φ = 2096640.

The previous prime is 6564667. The next prime is 6564673. The reversal of 6564672 is 2764656.

6564672 is a `hidden beast` number, since 6 + 5 + 646 + 7 + 2 = 666.

6564672 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 (6564673) 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, 50047 + ... + 50177.

Almost surely, 2^6564672 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 6564672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10058400).

6564672 is an abundant number, since it is smaller than the sum of its proper divisors (13552128).

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

6564672 is a wasteful number, since it uses less digits than its factorization.

6564672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 6564672 is about 2562.1615874101. The cubic root of 6564672 is about 187.2424624254.

The spelling of 6564672 in words is "six million, five hundred sixty-four thousand, six hundred seventy-two".