966176876 has 96 divisors (see below), whose sum is σ = 2086318080. Its totient is φ = 382636800.

The previous prime is 966176843. The next prime is 966176879. The reversal of 966176876 is 678671669.

966176876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (966176879) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3297386 + ... + 3297678.

It is an arithmetic number, because the mean of its divisors is an integer number (21732480).

Almost surely, 2^966176876 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 966176876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043159040).

966176876 is an abundant number, since it is smaller than the sum of its proper divisors (1120141204).

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

966176876 is a wasteful number, since it uses less digits than its factorization.

966176876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 493 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 56.

The square root of 966176876 is about 31083.3858516089. The cubic root of 966176876 is about 988.5960700745.

The spelling of 966176876 in words is "nine hundred sixty-six million, one hundred seventy-six thousand, eight hundred seventy-six".