189832920 has 64 divisors (see below), whose sum is σ = 571968000. Its totient is φ = 50402688.

The previous prime is 189832919. The next prime is 189832957. The reversal of 189832920 is 29238981.

189832920 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25371 + ... + 31989.

It is an arithmetic number, because the mean of its divisors is an integer number (8937000).

Almost surely, 2^189832920 is an apocalyptic number.

189832920 is a gapful number since it is divisible by the number (10) 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 189832920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285984000).

189832920 is an abundant number, since it is smaller than the sum of its proper divisors (382135080).

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

189832920 is a wasteful number, since it uses less digits than its factorization.

189832920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6872 (or 6868 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 189832920 is about 13777.9867905293. The cubic root of 189832920 is about 574.7211451903.

The spelling of 189832920 in words is "one hundred eighty-nine million, eight hundred thirty-two thousand, nine hundred twenty".