189980 has 48 divisors (see below), whose sum is σ = 483840. Its totient is φ = 61248.

The previous prime is 189977. The next prime is 189983. The reversal of 189980 is 89981.

It is a happy number.

189980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (189977) and next prime (189983).

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 189980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3191 + ... + 3249.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2¹⁸⁹⁹⁸⁰ is an apocalyptic number.

189980 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 189980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920).

189980 is an abundant number, since it is smaller than the sum of its proper divisors (293860).

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

189980 is a wasteful number, since it uses less digits than its factorization.

189980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 35.

The square root of 189980 is about 435.8669521769. The cubic root of 189980 is about 57.4869535618.

Subtracting from 189980 its reverse (89981), we obtain a palindrome (99999).

The spelling of 189980 in words is "one hundred eighty-nine thousand, nine hundred eighty".