968776256 has 168 divisors, whose sum is σ = 2397556800. Its totient is φ = 386104320.

The previous prime is 968776253. The next prime is 968776271. The reversal of 968776256 is 652677869.

968776256 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 not an unprimeable number, because it can be changed into a prime (968776253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4230350 + ... + 4230578.

Almost surely, 2^968776256 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 968776256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198778400).

968776256 is an abundant number, since it is smaller than the sum of its proper divisors (1428780544).

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

968776256 is a wasteful number, since it uses less digits than its factorization.

968776256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 328 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 56.

The square root of 968776256 is about 31125.1707786479. The cubic root of 968776256 is about 989.4818415567.

The spelling of 968776256 in words is "nine hundred sixty-eight million, seven hundred seventy-six thousand, two hundred fifty-six".