652868256 has 96 divisors (see below), whose sum is σ = 1803428928. Its totient is φ = 206530560.

The previous prime is 652868243. The next prime is 652868261.

652868256 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 143391 + ... + 147873.

It is an arithmetic number, because the mean of its divisors is an integer number (18785718).

Almost surely, 2^652868256 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 652868256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901714464).

652868256 is an abundant number, since it is smaller than the sum of its proper divisors (1150560672).

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

652868256 is a wasteful number, since it uses less digits than its factorization.

652868256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4574 (or 4566 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The square root of 652868256 is about 25551.2867777731. The cubic root of 652868256 is about 867.5113873160.

The spelling of 652868256 in words is "six hundred fifty-two million, eight hundred sixty-eight thousand, two hundred fifty-six".