198300 has 36 divisors (see below), whose sum is σ = 574616. Its totient is φ = 52800.

The previous prime is 198281. The next prime is 198301. The reversal of 198300 is 3891.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198300.

It is not an unprimeable number, because it can be changed into a prime (198301) by changing a digit.

198300 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, 31 + ... + 630.

2¹⁹⁸³⁰⁰ is an apocalyptic number.

198300 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 198300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287308).

198300 is an abundant number, since it is smaller than the sum of its proper divisors (376316).

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

198300 is a wasteful number, since it uses less digits than its factorization.

198300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 198300 is about 445.3088815642. The cubic root of 198300 is about 58.3141887289.

The spelling of 198300 in words is "one hundred ninety-eight thousand, three hundred".