65579664 has 80 divisors (see below), whose sum is σ = 177488640. Its totient is φ = 20843520.

The previous prime is 65579653. The next prime is 65579677. The reversal of 65579664 is 46697556.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92142 + ... + 92850.

It is an arithmetic number, because the mean of its divisors is an integer number (2218608).

Almost surely, 2^65579664 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 65579664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88744320).

65579664 is an abundant number, since it is smaller than the sum of its proper divisors (111908976).

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

65579664 is a wasteful number, since it uses less digits than its factorization.

65579664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 802 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 48.

The square root of 65579664 is about 8098.1271909004. The cubic root of 65579664 is about 403.2642557898.

The spelling of 65579664 in words is "sixty-five million, five hundred seventy-nine thousand, six hundred sixty-four".