653705664 has 56 divisors (see below), whose sum is σ = 1731587088. Its totient is φ = 217651200.

The previous prime is 653705653. The next prime is 653705687. The reversal of 653705664 is 466507356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248484 + ... + 251100.

It is an arithmetic number, because the mean of its divisors is an integer number (30921198).

Almost surely, 2^653705664 is an apocalyptic number.

653705664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

653705664 is an abundant number, since it is smaller than the sum of its proper divisors (1077881424).

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

653705664 is a wasteful number, since it uses less digits than its factorization.

653705664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3933 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The square root of 653705664 is about 25567.6683332681. The cubic root of 653705664 is about 867.8821362328.

The spelling of 653705664 in words is "six hundred fifty-three million, seven hundred five thousand, six hundred sixty-four".