166904980 has 72 divisors (see below), whose sum is σ = 408023784. Its totient is φ = 57108480.

The previous prime is 166904971. The next prime is 166905017. The reversal of 166904980 is 89409661.

It can be written as a sum of positive squares in 4 ways, for example, as 35022724 + 131882256 = 5918^2 + 11484^2 .

It is a congruent number.

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, 39112 + ... + 43168.

It is an arithmetic number, because the mean of its divisors is an integer number (5666997).

Almost surely, 2^166904980 is an apocalyptic number.

166904980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166904980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204011892).

166904980 is an abundant number, since it is smaller than the sum of its proper divisors (241118804).

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

166904980 is a wasteful number, since it uses less digits than its factorization.

166904980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4105 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 166904980 is about 12919.1710260372. The cubic root of 166904980 is about 550.5833809932.

The spelling of 166904980 in words is "one hundred sixty-six million, nine hundred four thousand, nine hundred eighty".