653631264 has 288 divisors, whose sum is σ = 2228990400. Its totient is φ = 179066880.

The previous prime is 653631241. The next prime is 653631289. The reversal of 653631264 is 462136356.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2429722 + ... + 2429990.

It is an arithmetic number, because the mean of its divisors is an integer number (7739550).

Almost surely, 2^653631264 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 653631264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114495200).

653631264 is an abundant number, since it is smaller than the sum of its proper divisors (1575359136).

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

653631264 is a wasteful number, since it uses less digits than its factorization.

653631264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 357 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 653631264 is about 25566.2133293141. The cubic root of 653631264 is about 867.8492096502.

The spelling of 653631264 in words is "six hundred fifty-three million, six hundred thirty-one thousand, two hundred sixty-four".