198900 has 108 divisors (see below), whose sum is σ = 710892. Its totient is φ = 46080.

The previous prime is 198899. The next prime is 198901. The reversal of 198900 is 9891.

It is an interprime number because it is at equal distance from previous prime (198899) and next prime (198901).

It can be written as a sum of positive squares in 6 ways, for example, as 7056 + 191844 = 84^2 + 438^2 .

It is a super-2 number, since 2×198900² = 79122420000, which contains 22 as substring.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11692 + ... + 11708.

2¹⁹⁸⁹⁰⁰ is an apocalyptic number.

198900 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 198900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355446).

198900 is an abundant number, since it is smaller than the sum of its proper divisors (511992).

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

198900 is a wasteful number, since it uses less digits than its factorization.

198900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 198900 is about 445.9820624196. The cubic root of 198900 is about 58.3729436187.

The spelling of 198900 in words is "one hundred ninety-eight thousand, nine hundred".