199800 has 96 divisors (see below), whose sum is σ = 706800. Its totient is φ = 51840.

The previous prime is 199799. The next prime is 199807. The reversal of 199800 is 8991.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5382 + ... + 5418.

2¹⁹⁹⁸⁰⁰ is an apocalyptic number.

199800 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 199800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353400).

199800 is an abundant number, since it is smaller than the sum of its proper divisors (507000).

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

199800 is a wasteful number, since it uses less digits than its factorization.

199800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 47 counting only the distinct ones).

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

The square root of 199800 is about 446.9899327725. The cubic root of 199800 is about 58.4608548112.

It can be divided in two parts, 199 and 800, that added together give a palindrome (999).

The spelling of 199800 in words is "one hundred ninety-nine thousand, eight hundred".