180084 has 24 divisors (see below), whose sum is σ = 431200. Its totient is φ = 58464.

The previous prime is 180077. The next prime is 180097. The reversal of 180084 is 480081.

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 180084.

It is a congruent number.

It is an unprimeable number.

180084 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 7 ways as a sum of consecutive naturals, for example, 342 + ... + 690.

2¹⁸⁰⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

180084 is an abundant number, since it is smaller than the sum of its proper divisors (251116).

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

180084 is a wasteful number, since it uses less digits than its factorization.

180084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 180084 is about 424.3630521146. The cubic root of 180084 is about 56.4709433699.

The spelling of 180084 in words is "one hundred eighty thousand, eighty-four".