166090560 has 112 divisors (see below), whose sum is σ = 544445952. Its totient is φ = 42854400.

The previous prime is 166090543. The next prime is 166090579. The reversal of 166090560 is 65090661.

166090560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×166090560² = 55172148242227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26970 + ... + 32550.

Almost surely, 2^166090560 is an apocalyptic number.

166090560 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 166090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272222976).

166090560 is an abundant number, since it is smaller than the sum of its proper divisors (378355392).

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

166090560 is a wasteful number, since it uses less digits than its factorization.

166090560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632 (or 5622 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 166090560 is about 12887.6126571216. The cubic root of 166090560 is about 549.6863887052.

The spelling of 166090560 in words is "one hundred sixty-six million, ninety thousand, five hundred sixty".