166080 has 56 divisors (see below), whose sum is σ = 530352. Its totient is φ = 44032.

The previous prime is 166063. The next prime is 166081. The reversal of 166080 is 80661.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (166081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 874 + ... + 1046.

2¹⁶⁶⁰⁸⁰ is an apocalyptic number.

166080 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 166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265176).

166080 is an abundant number, since it is smaller than the sum of its proper divisors (364272).

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

166080 is a wasteful number, since it uses less digits than its factorization.

166080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 166080 is about 407.5291400624. The cubic root of 166080 is about 54.9674738813.

The spelling of 166080 in words is "one hundred sixty-six thousand, eighty".