653664 has 48 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 197760.

The previous prime is 653659. The next prime is 653687. The reversal of 653664 is 466356.

653664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 653664.

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, 747 + ... + 1365.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

2⁶⁵³⁶⁶⁴ 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 653664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

653664 is an abundant number, since it is smaller than the sum of its proper divisors (1221216).

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

653664 is a wasteful number, since it uses less digits than its factorization.

653664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 635 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 653664 is about 808.4948979431. The cubic root of 653664 is about 86.7863697654.

The spelling of 653664 in words is "six hundred fifty-three thousand, six hundred sixty-four".