188904 has 32 divisors (see below), whose sum is σ = 501120. Its totient is φ = 59136.

The previous prime is 188891. The next prime is 188911. The reversal of 188904 is 409881.

It is a happy number.

188904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

188904 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, 177 + ... + 639.

It is an arithmetic number, because the mean of its divisors is an integer number (15660).

2¹⁸⁸⁹⁰⁴ 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 188904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250560).

188904 is an abundant number, since it is smaller than the sum of its proper divisors (312216).

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

188904 is a wasteful number, since it uses less digits than its factorization.

188904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 485 counting only the distinct ones).

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

The square root of 188904 is about 434.6308778722. The cubic root of 188904 is about 57.3782173617.

The spelling of 188904 in words is "one hundred eighty-eight thousand, nine hundred four".