189829920 has 192 divisors, whose sum is σ = 697939200. Its totient is φ = 43352064.

The previous prime is 189829919. The next prime is 189829921. The reversal of 189829920 is 29928981.

It is an interprime number because it is at equal distance from previous prime (189829919) and next prime (189829921).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 189829920.

It is not an unprimeable number, because it can be changed into a prime (189829921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164064 + ... + 165216.

It is an arithmetic number, because the mean of its divisors is an integer number (3635100).

Almost surely, 2^189829920 is an apocalyptic number.

189829920 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 189829920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348969600).

189829920 is an abundant number, since it is smaller than the sum of its proper divisors (508109280).

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

189829920 is a wasteful number, since it uses less digits than its factorization.

189829920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 189829920 is about 13777.8779207830. The cubic root of 189829920 is about 574.7181176640.

The spelling of 189829920 in words is "one hundred eighty-nine million, eight hundred twenty-nine thousand, nine hundred twenty".