966084876 has 72 divisors (see below), whose sum is σ = 2479276800. Its totient is φ = 317157120.

The previous prime is 966084851. The next prime is 966084883. The reversal of 966084876 is 678480669.

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 23 ways as a sum of consecutive naturals, for example, 748840 + ... + 750128.

It is an arithmetic number, because the mean of its divisors is an integer number (34434400).

Almost surely, 2^966084876 is an apocalyptic number.

It is an amenable number.

966084876 is an abundant number, since it is smaller than the sum of its proper divisors (1513191924).

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

966084876 is a wasteful number, since it uses less digits than its factorization.

966084876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 966084876 is about 31081.9059261172. The cubic root of 966084876 is about 988.5646908217.

The spelling of 966084876 in words is "nine hundred sixty-six million, eighty-four thousand, eight hundred seventy-six".