189084960 has 144 divisors (see below), whose sum is σ = 679311360. Its totient is φ = 47761920.

The previous prime is 189084953. The next prime is 189084983. The reversal of 189084960 is 69480981.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23905 + ... + 30815.

It is an arithmetic number, because the mean of its divisors is an integer number (4717440).

Almost surely, 2^189084960 is an apocalyptic number.

189084960 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 189084960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339655680).

189084960 is an abundant number, since it is smaller than the sum of its proper divisors (490226400).

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

189084960 is a wasteful number, since it uses less digits than its factorization.

189084960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6951 (or 6940 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 189084960 is about 13750.8167030180. The cubic root of 189084960 is about 573.9653327612.

The spelling of 189084960 in words is "one hundred eighty-nine million, eighty-four thousand, nine hundred sixty".