166184880 has 80 divisors (see below), whose sum is σ = 516737760. Its totient is φ = 44181504.

The previous prime is 166184827. The next prime is 166184891. The reversal of 166184880 is 88481661.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×166184880² = 55234828681228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97314 + ... + 99006.

It is an arithmetic number, because the mean of its divisors is an integer number (6459222).

Almost surely, 2^166184880 is an apocalyptic number.

166184880 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 166184880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258368880).

166184880 is an abundant number, since it is smaller than the sum of its proper divisors (350552880).

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

166184880 is a wasteful number, since it uses less digits than its factorization.

166184880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 166184880 is about 12891.2714656080. The cubic root of 166184880 is about 549.7904215273.

The spelling of 166184880 in words is "one hundred sixty-six million, one hundred eighty-four thousand, eight hundred eighty".