180984 has 16 divisors (see below), whose sum is σ = 452520. Its totient is φ = 60320.

The previous prime is 180959. The next prime is 181001. The reversal of 180984 is 489081.

It is a happy number.

180984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 180984.

It is an unprimeable number.

180984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3747 + ... + 3794.

2¹⁸⁰⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

180984 is an abundant number, since it is smaller than the sum of its proper divisors (271536).

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

180984 is a wasteful number, since it uses less digits than its factorization.

180984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7550 (or 7546 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 180984 is about 425.4221432883. The cubic root of 180984 is about 56.5648614238.

The spelling of 180984 in words is "one hundred eighty thousand, nine hundred eighty-four".