966176172 has 72 divisors (see below), whose sum is σ = 2635376016. Its totient is φ = 296694144.

The previous prime is 966176161. The next prime is 966176173. The reversal of 966176172 is 271671669.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (966176173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272958 + ... + 276474.

Almost surely, 2^966176172 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 966176172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317688008).

966176172 is an abundant number, since it is smaller than the sum of its proper divisors (1669199844).

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

966176172 is a wasteful number, since it uses less digits than its factorization.

966176172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127 (or 4122 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 966176172 is about 31083.3745272292. The cubic root of 966176172 is about 988.5958299626.

The spelling of 966176172 in words is "nine hundred sixty-six million, one hundred seventy-six thousand, one hundred seventy-two".