180990 has 24 divisors (see below), whose sum is σ = 470808. Its totient is φ = 48240.

The previous prime is 180959. The next prime is 181001. The reversal of 180990 is 99081.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180990.

It is an unprimeable number.

180990 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 916 + ... + 1095.

It is an arithmetic number, because the mean of its divisors is an integer number (19617).

2¹⁸⁰⁹⁹⁰ is an apocalyptic number.

180990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

180990 is an abundant number, since it is smaller than the sum of its proper divisors (289818).

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

180990 is a wasteful number, since it uses less digits than its factorization.

180990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 180990 is about 425.4291950490. The cubic root of 180990 is about 56.5654864982.

The spelling of 180990 in words is "one hundred eighty thousand, nine hundred ninety".