653722624 has 99 divisors (see below), whose sum is σ = 1418364253. Its totient is φ = 301088768.

The previous prime is 653722613. The next prime is 653722661. The reversal of 653722624 is 426227356.

The square root of 653722624 is 25568.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 508953600 + 144769024 = 22560^2 + 12032^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13908969 + ... + 13909015.

Almost surely, 2^653722624 is an apocalyptic number.

653722624 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

653722624 is the 25568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653722624

653722624 is an abundant number, since it is smaller than the sum of its proper divisors (764641629).

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

653722624 is an equidigital number, since it uses as much as digits as its factorization.

653722624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 66 counting only the distinct ones).

The product of its digits is 120960, while the sum is 37.

The cubic root of 653722624 is about 867.8896417278.

It can be divided in two parts, 6537 and 22624, that added together give a triangular number (29161 = T₂₄₁).

The spelling of 653722624 in words is "six hundred fifty-three million, seven hundred twenty-two thousand, six hundred twenty-four".