189904 has 40 divisors (see below), whose sum is σ = 437472. Its totient is φ = 78720.

The previous prime is 189901. The next prime is 189913. The reversal of 189904 is 409981.

189904 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 not an unprimeable number, because it can be changed into a prime (189901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2247 + ... + 2329.

2¹⁸⁹⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218736).

189904 is an abundant number, since it is smaller than the sum of its proper divisors (247568).

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

189904 is a wasteful number, since it uses less digits than its factorization.

189904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 189904 is about 435.7797608885. The cubic root of 189904 is about 57.4792868053.

The spelling of 189904 in words is "one hundred eighty-nine thousand, nine hundred four".