966981180 has 144 divisors (see below), whose sum is σ = 3105994752. Its totient is φ = 224188800.

The previous prime is 966981167. The next prime is 966981181. The reversal of 966981180 is 81189669.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966981181) 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 47 ways as a sum of consecutive naturals, for example, 164085 + ... + 169875.

It is an arithmetic number, because the mean of its divisors is an integer number (21569408).

Almost surely, 2^966981180 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 966981180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552997376).

966981180 is an abundant number, since it is smaller than the sum of its proper divisors (2139013572).

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

966981180 is a wasteful number, since it uses less digits than its factorization.

966981180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5848 (or 5835 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 966981180 is about 31096.3210042603. The cubic root of 966981180 is about 988.8703163527.

The spelling of 966981180 in words is "nine hundred sixty-six million, nine hundred eighty-one thousand, one hundred eighty".