966811170 has 64 divisors (see below), whose sum is σ = 2541248640. Its totient is φ = 233945088.

The previous prime is 966811169. The next prime is 966811171. The reversal of 966811170 is 71118669.

It is an interprime number because it is at equal distance from previous prime (966811169) and next prime (966811171).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (966811171) 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 31 ways as a sum of consecutive naturals, for example, 2002 + ... + 44018.

It is an arithmetic number, because the mean of its divisors is an integer number (39707010).

Almost surely, 2^966811170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966811170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270624320).

966811170 is an abundant number, since it is smaller than the sum of its proper divisors (1574437470).

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

966811170 is a wasteful number, since it uses less digits than its factorization.

966811170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42099.

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 966811170 is about 31093.5872809813. The cubic root of 966811170 is about 988.8123601417.

The spelling of 966811170 in words is "nine hundred sixty-six million, eight hundred eleven thousand, one hundred seventy".