198800 has 60 divisors (see below), whose sum is σ = 553536. Its totient is φ = 67200.

The previous prime is 198769. The next prime is 198811. The reversal of 198800 is 8891.

198800 = T₆₃ + T₆₄ + ... + T₁₁₂.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 198800.

It is an unprimeable number.

198800 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 (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2765 + ... + 2835.

2¹⁹⁸⁸⁰⁰ is an apocalyptic number.

198800 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 198800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276768).

198800 is an abundant number, since it is smaller than the sum of its proper divisors (354736).

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

198800 is a wasteful number, since it uses less digits than its factorization.

198800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 198800 is about 445.8699361922. The cubic root of 198800 is about 58.3631593504.

The spelling of 198800 in words is "one hundred ninety-eight thousand, eight hundred".