966790968 has 96 divisors (see below), whose sum is σ = 2861149200. Its totient is φ = 270420480.

The previous prime is 966790961. The next prime is 966790999. The reversal of 966790968 is 869097669.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966790961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 24948 + ... + 50556.

Almost surely, 2^966790968 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 966790968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430574600).

966790968 is an abundant number, since it is smaller than the sum of its proper divisors (1894358232).

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

966790968 is a wasteful number, since it uses less digits than its factorization.

966790968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25653 (or 25638 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 60.

The square root of 966790968 is about 31093.2624213028. The cubic root of 966790968 is about 988.8054728517.

The spelling of 966790968 in words is "nine hundred sixty-six million, seven hundred ninety thousand, nine hundred sixty-eight".