198380 has 48 divisors (see below), whose sum is σ = 517440. Its totient is φ = 62208.

The previous prime is 198377. The next prime is 198391. The reversal of 198380 is 83891.

It is a happy number.

198380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1766 + ... + 1874.

It is an arithmetic number, because the mean of its divisors is an integer number (10780).

2¹⁹⁸³⁸⁰ is an apocalyptic number.

198380 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 198380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258720).

198380 is an abundant number, since it is smaller than the sum of its proper divisors (319060).

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

198380 is a wasteful number, since it uses less digits than its factorization.

198380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 136 counting only the distinct ones).

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

The square root of 198380 is about 445.3986977978. The cubic root of 198380 is about 58.3220295557.

The spelling of 198380 in words is "one hundred ninety-eight thousand, three hundred eighty".