189924 has 72 divisors (see below), whose sum is σ = 574560. Its totient is φ = 48384.

The previous prime is 189913. The next prime is 189929. The reversal of 189924 is 429981.

189924 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×189924² = 72142251552, which contains 22 as substring.

Its product of digits (5184) is a multiple of the sum of its prime divisors (48).

It is not an unprimeable number, because it can be changed into a prime (189929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9987 + ... + 10005.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2¹⁸⁹⁹²⁴ is an apocalyptic number.

189924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287280).

189924 is an abundant number, since it is smaller than the sum of its proper divisors (384636).

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

189924 is a wasteful number, since it uses less digits than its factorization.

189924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 48 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 189924 is about 435.8027076557. The cubic root of 189924 is about 57.4813045711.

The spelling of 189924 in words is "one hundred eighty-nine thousand, nine hundred twenty-four".