968205456 has 45 divisors (see below), whose sum is σ = 2710675929. Its totient is φ = 322610688.

The previous prime is 968205449. The next prime is 968205461. The reversal of 968205456 is 654502869.

The square root of 968205456 is 31116.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 584672400 + 383533056 = 24180^2 + 19584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 372096 + ... + 374688.

Almost surely, 2^968205456 is an apocalyptic number.

968205456 is the 31116-th square number.

It is an amenable number.

968205456 is an abundant number, since it is smaller than the sum of its proper divisors (1742470473).

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

968205456 is an equidigital number, since it uses as much as digits as its factorization.

968205456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5200 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The cubic root of 968205456 is about 989.2874701549.

Multiplying 968205456 by its product of nonzero digits (518400), we get a square (501917708390400 = 22403520²).

The spelling of 968205456 in words is "nine hundred sixty-eight million, two hundred five thousand, four hundred fifty-six".