166446080 has 176 divisors, whose sum is σ = 442152000. Its totient is φ = 59867136.

The previous prime is 166446079. The next prime is 166446107. The reversal of 166446080 is 80644661.

166446080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 166446080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2821091 + ... + 2821149.

Almost surely, 2^166446080 is an apocalyptic number.

166446080 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 166446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221076000).

166446080 is an abundant number, since it is smaller than the sum of its proper divisors (275705920).

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

166446080 is a wasteful number, since it uses less digits than its factorization.

166446080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 166446080 is about 12901.3983738198. The cubic root of 166446080 is about 550.0783139173.

The spelling of 166446080 in words is "one hundred sixty-six million, four hundred forty-six thousand, eighty".