189380 has 24 divisors (see below), whose sum is σ = 421848. Its totient is φ = 71168.

The previous prime is 189377. The next prime is 189389. The reversal of 189380 is 83981.

It is a happy number.

189380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9604 + 179776 = 98^2 + 424^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (189389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62 + ... + 618.

It is an arithmetic number, because the mean of its divisors is an integer number (17577).

2¹⁸⁹³⁸⁰ is an apocalyptic number.

189380 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 189380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210924).

189380 is an abundant number, since it is smaller than the sum of its proper divisors (232468).

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

189380 is a wasteful number, since it uses less digits than its factorization.

189380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 189380 is about 435.1781244502. The cubic root of 189380 is about 57.4263707858.

The spelling of 189380 in words is "one hundred eighty-nine thousand, three hundred eighty".