653898336 has 432 divisors, whose sum is σ = 2345985936. Its totient is φ = 157925376.

The previous prime is 653898313. The next prime is 653898361. The reversal of 653898336 is 633898356.

653898336 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 (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17672910 + ... + 17672946.

It is an arithmetic number, because the mean of its divisors is an integer number (5430523).

Almost surely, 2^653898336 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 653898336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172992968).

653898336 is an abundant number, since it is smaller than the sum of its proper divisors (1692087600).

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

653898336 is a wasteful number, since it uses less digits than its factorization.

653898336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 79 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 51.

The square root of 653898336 is about 25571.4359393445. The cubic root of 653898336 is about 867.9673938498.

The spelling of 653898336 in words is "six hundred fifty-three million, eight hundred ninety-eight thousand, three hundred thirty-six".