64564632 has 72 divisors (see below), whose sum is σ = 192230220. Its totient is φ = 19562400.

The previous prime is 64564613. The next prime is 64564637. The reversal of 64564632 is 23646546.

64564632 is a `hidden beast` number, since 6 + 4 + 5 + 646 + 3 + 2 = 666.

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

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 (64564637) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5007 + ... + 12417.

Almost surely, 2^64564632 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 64564632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96115110).

64564632 is an abundant number, since it is smaller than the sum of its proper divisors (127665588).

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

64564632 is a wasteful number, since it uses less digits than its factorization.

64564632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7445 (or 7427 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 64564632 is about 8035.2120071595. The cubic root of 64564632 is about 401.1728742205.

The spelling of 64564632 in words is "sixty-four million, five hundred sixty-four thousand, six hundred thirty-two".