198919800 has 144 divisors (see below), whose sum is σ = 692950440. Its totient is φ = 53032320.

The previous prime is 198919793. The next prime is 198919811. The reversal of 198919800 is 8919891.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46554 + ... + 50646.

Almost surely, 2^198919800 is an apocalyptic number.

198919800 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 198919800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346475220).

198919800 is an abundant number, since it is smaller than the sum of its proper divisors (494030640).

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

198919800 is a wasteful number, since it uses less digits than its factorization.

198919800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4124 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 45.

The square root of 198919800 is about 14103.8930795720. The cubic root of 198919800 is about 583.7488051490.

The spelling of 198919800 in words is "one hundred ninety-eight million, nine hundred nineteen thousand, eight hundred".