180905166 has 48 divisors (see below), whose sum is σ = 440477856. Its totient is φ = 53241408.

The previous prime is 180905149. The next prime is 180905167. The reversal of 180905166 is 661509081.

It is a self number, because there is not a number n which added to its sum of digits gives 180905166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180905167) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11425 + ... + 22188.

It is an arithmetic number, because the mean of its divisors is an integer number (9176622).

Almost surely, 2^180905166 is an apocalyptic number.

180905166 is an abundant number, since it is smaller than the sum of its proper divisors (259572690).

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

180905166 is a wasteful number, since it uses less digits than its factorization.

180905166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33657 (or 33654 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 180905166 is about 13450.0991074416. The cubic root of 180905166 is about 565.5664728714.

The spelling of 180905166 in words is "one hundred eighty million, nine hundred five thousand, one hundred sixty-six".