189984 has 24 divisors (see below), whose sum is σ = 498960. Its totient is φ = 63296.

The previous prime is 189983. The next prime is 189989. The reversal of 189984 is 489981.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (189983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 894 + ... + 1085.

It is an arithmetic number, because the mean of its divisors is an integer number (20790).

2¹⁸⁹⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

189984 is an abundant number, since it is smaller than the sum of its proper divisors (308976).

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

189984 is a wasteful number, since it uses less digits than its factorization.

189984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1984 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The square root of 189984 is about 435.8715407090. The cubic root of 189984 is about 57.4873570187.

The spelling of 189984 in words is "one hundred eighty-nine thousand, nine hundred eighty-four".