189185920 has 192 divisors, whose sum is σ = 569772000. Its totient is φ = 58798080.

The previous prime is 189185897. The next prime is 189185923. The reversal of 189185920 is 29581981.

189185920 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 (189185923) 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, 541906 + ... + 542254.

Almost surely, 2^189185920 is an apocalyptic number.

189185920 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 189185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284886000).

189185920 is an abundant number, since it is smaller than the sum of its proper divisors (380586080).

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

189185920 is a wasteful number, since it uses less digits than its factorization.

189185920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 43.

The square root of 189185920 is about 13754.4872677974. The cubic root of 189185920 is about 574.0674689113.

The spelling of 189185920 in words is "one hundred eighty-nine million, one hundred eighty-five thousand, nine hundred twenty".