198000 has 120 divisors (see below), whose sum is σ = 754416. Its totient is φ = 48000.

The previous prime is 197971. The next prime is 198013. The reversal of 198000 is 891.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

198000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17995 + ... + 18005.

2¹⁹⁸⁰⁰⁰ is an apocalyptic number.

198000 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 198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377208).

198000 is an abundant number, since it is smaller than the sum of its proper divisors (556416).

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

198000 is a wasteful number, since it uses less digits than its factorization.

198000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 198000 is about 444.9719092257. The cubic root of 198000 is about 58.2847668325.

Adding to 198000 its reverse (891), we get a palindrome (198891).

The spelling of 198000 in words is "one hundred ninety-eight thousand".