189120 has 56 divisors (see below), whose sum is σ = 603504. Its totient is φ = 50176.

The previous prime is 189067. The next prime is 189127. The reversal of 189120 is 21981.

It is not an unprimeable number, because it can be changed into a prime (189127) by changing a digit.

189120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 862 + ... + 1058.

2¹⁸⁹¹²⁰ is an apocalyptic number.

189120 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 189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301752).

189120 is an abundant number, since it is smaller than the sum of its proper divisors (414384).

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

189120 is a wasteful number, since it uses less digits than its factorization.

189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 189120 is about 434.8792935977. The cubic root of 189120 is about 57.4000785084.

The spelling of 189120 in words is "one hundred eighty-nine thousand, one hundred twenty".