166106880 has 108 divisors (see below), whose sum is σ = 574752360. Its totient is φ = 44292096.

The previous prime is 166106879. The next prime is 166106887. The reversal of 166106880 is 88601661.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166106887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4311 + ... + 18729.

Almost surely, 2^166106880 is an apocalyptic number.

166106880 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 166106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287376180).

166106880 is an abundant number, since it is smaller than the sum of its proper divisors (408645480).

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

166106880 is a wasteful number, since it uses less digits than its factorization.

166106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14446 (or 14429 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 166106880 is about 12888.2458077118. The cubic root of 166106880 is about 549.7043921126.

The spelling of 166106880 in words is "one hundred sixty-six million, one hundred six thousand, eight hundred eighty".