189360 has 60 divisors (see below), whose sum is σ = 638352. Its totient is φ = 50304.

The previous prime is 189353. The next prime is 189361. The reversal of 189360 is 63981.

189360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (189361) by changing a digit.

189360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 589 + ... + 851.

2¹⁸⁹³⁶⁰ is an apocalyptic number.

189360 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 189360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319176).

189360 is an abundant number, since it is smaller than the sum of its proper divisors (448992).

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

189360 is a wasteful number, since it uses less digits than its factorization.

189360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 189360 is about 435.1551447472. The cubic root of 189360 is about 57.4243491576.

It can be divided in two parts, 1893 and 60, that added together give a triangular number (1953 = T₆₂).

The spelling of 189360 in words is "one hundred eighty-nine thousand, three hundred sixty".