166881180 has 192 divisors, whose sum is σ = 532224000. Its totient is φ = 38817792.

The previous prime is 166881179. The next prime is 166881191. The reversal of 166881180 is 81188661.

166881180 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1530966 + ... + 1531074.

It is an arithmetic number, because the mean of its divisors is an integer number (2772000).

Almost surely, 2^166881180 is an apocalyptic number.

166881180 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 166881180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266112000).

166881180 is an abundant number, since it is smaller than the sum of its proper divisors (365342820).

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

166881180 is a wasteful number, since it uses less digits than its factorization.

166881180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 166881180 is about 12918.2498814661. The cubic root of 166881180 is about 550.5572094007.

The spelling of 166881180 in words is "one hundred sixty-six million, eight hundred eighty-one thousand, one hundred eighty".