968708160 has 560 divisors, whose sum is σ = 4160154240. Its totient is φ = 209018880.

The previous prime is 968708149. The next prime is 968708183. The reversal of 968708160 is 61807869.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3447220 + ... + 3447500.

Almost surely, 2^968708160 is an apocalyptic number.

968708160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080077120).

968708160 is an abundant number, since it is smaller than the sum of its proper divisors (3191446080).

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

968708160 is a wasteful number, since it uses less digits than its factorization.

968708160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 968708160 is about 31124.0768537799. The cubic root of 968708160 is about 989.4586572099.

The spelling of 968708160 in words is "nine hundred sixty-eight million, seven hundred eight thousand, one hundred sixty".