653956688 has 80 divisors (see below), whose sum is σ = 1586148480. Its totient is φ = 253747200.

The previous prime is 653956657. The next prime is 653956717. The reversal of 653956688 is 886659356.

It is a happy number.

653956688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345248 + ... + 347136.

It is an arithmetic number, because the mean of its divisors is an integer number (19826856).

Almost surely, 2^653956688 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 653956688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793074240).

653956688 is an abundant number, since it is smaller than the sum of its proper divisors (932191792).

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

653956688 is a wasteful number, since it uses less digits than its factorization.

653956688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2190 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 56.

The square root of 653956688 is about 25572.5768744567. The cubic root of 653956688 is about 867.9932113834.

The spelling of 653956688 in words is "six hundred fifty-three million, nine hundred fifty-six thousand, six hundred eighty-eight".