198600 has 48 divisors (see below), whose sum is σ = 617520. Its totient is φ = 52800.

The previous prime is 198599. The next prime is 198613. The reversal of 198600 is 6891.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 435 + ... + 765.

It is an arithmetic number, because the mean of its divisors is an integer number (12865).

2¹⁹⁸⁶⁰⁰ is an apocalyptic number.

198600 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 198600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308760).

198600 is an abundant number, since it is smaller than the sum of its proper divisors (418920).

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

198600 is a wasteful number, since it uses less digits than its factorization.

198600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 198600 is about 445.6455991031. The cubic root of 198600 is about 58.3435809661.

The spelling of 198600 in words is "one hundred ninety-eight thousand, six hundred".