968896080 has 100 divisors (see below), whose sum is σ = 3365142132. Its totient is φ = 258370560.

The previous prime is 968896039. The next prime is 968896099. The reversal of 968896080 is 80698869.

It can be written as a sum of positive squares in 2 ways, for example, as 698227776 + 270668304 = 26424^2 + 16452^2 .

It is a super-2 number, since 2×968896080² = 1877519227678732800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68281 + ... + 81240.

Almost surely, 2^968896080 is an apocalyptic number.

968896080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

968896080 is an abundant number, since it is smaller than the sum of its proper divisors (2396246052).

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

968896080 is a wasteful number, since it uses less digits than its factorization.

968896080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149546 (or 149531 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 968896080 is about 31127.0955921043. The cubic root of 968896080 is about 989.5226348715.

The spelling of 968896080 in words is "nine hundred sixty-eight million, eight hundred ninety-six thousand, eighty".