653505664 has 32 divisors (see below), whose sum is σ = 1487894400. Its totient is φ = 280073472.

The previous prime is 653505661. The next prime is 653505673. The reversal of 653505664 is 466505356.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (653505661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 363784 + ... + 365575.

It is an arithmetic number, because the mean of its divisors is an integer number (46496700).

Almost surely, 2^653505664 is an apocalyptic number.

653505664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

653505664 is an abundant number, since it is smaller than the sum of its proper divisors (834388736).

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

653505664 is an equidigital number, since it uses as much as digits as its factorization.

653505664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729380 (or 729368 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 40.

The square root of 653505664 is about 25563.7568444077. The cubic root of 653505664 is about 867.7936182440.

The spelling of 653505664 in words is "six hundred fifty-three million, five hundred five thousand, six hundred sixty-four".