968826000 has 80 divisors (see below), whose sum is σ = 3123514368. Its totient is φ = 258352000.

The previous prime is 968825999. The next prime is 968826101. The reversal of 968826000 is 628869.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 968826000.

It is a congruent number.

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, 74736 + ... + 86735.

Almost surely, 2^968826000 is an apocalyptic number.

It is an amenable number.

968826000 is an abundant number, since it is smaller than the sum of its proper divisors (2154688368).

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

968826000 is a wasteful number, since it uses less digits than its factorization.

968826000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161497 (or 161481 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 968826000 is about 31125.9698644074. The cubic root of 968826000 is about 989.4987769919.

The spelling of 968826000 in words is "nine hundred sixty-eight million, eight hundred twenty-six thousand".