189936 has 30 divisors (see below), whose sum is σ = 531960. Its totient is φ = 63264.

The previous prime is 189929. The next prime is 189947. The reversal of 189936 is 639981.

189936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 189936.

It is a congruent number.

It is an unprimeable number.

189936 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 5 ways as a sum of consecutive naturals, for example, 516 + ... + 803.

It is an arithmetic number, because the mean of its divisors is an integer number (17732).

2¹⁸⁹⁹³⁶ is an apocalyptic number.

189936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

189936 is an abundant number, since it is smaller than the sum of its proper divisors (342024).

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

189936 is a wasteful number, since it uses less digits than its factorization.

189936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1324 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 189936 is about 435.8164751360. The cubic root of 189936 is about 57.4825151626.

The spelling of 189936 in words is "one hundred eighty-nine thousand, nine hundred thirty-six".