653006916 has 27 divisors (see below), whose sum is σ = 1651044031. Its totient is φ = 217617864.

The previous prime is 653006911. The next prime is 653006917. The reversal of 653006916 is 619600356.

The square root of 653006916 is 25554.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (653006911) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 151195 + ... + 155453.

Almost surely, 2^653006916 is an apocalyptic number.

653006916 is the 25554-th square number.

It is an amenable number.

653006916 is an abundant number, since it is smaller than the sum of its proper divisors (998037115).

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

653006916 is an equidigital number, since it uses as much as digits as its factorization.

653006916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8528 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The cubic root of 653006916 is about 867.5727986921.

Multiplying 653006916 by its sum of digits (36), we get a square (23508248976 = 153324²).

653006916 divided by its sum of digits (36) gives a square (18139081 = 4259²).

The spelling of 653006916 in words is "six hundred fifty-three million, six thousand, nine hundred sixteen".