189301920 has 96 divisors (see below), whose sum is σ = 610908480. Its totient is φ = 49244160.

The previous prime is 189301897. The next prime is 189301951. The reversal of 189301920 is 29103981.

It is a tau number, because it is divible by the number of its divisors (96).

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, 14871 + ... + 24489.

It is an arithmetic number, because the mean of its divisors is an integer number (6363630).

Almost surely, 2^189301920 is an apocalyptic number.

189301920 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 189301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305454240).

189301920 is an abundant number, since it is smaller than the sum of its proper divisors (421606560).

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

189301920 is a wasteful number, since it uses less digits than its factorization.

189301920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9678 (or 9670 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 189301920 is about 13758.7034272856. The cubic root of 189301920 is about 574.1847754224.

The spelling of 189301920 in words is "one hundred eighty-nine million, three hundred one thousand, nine hundred twenty".