198019800 has 288 divisors, whose sum is σ = 740778480. Its totient is φ = 47001600.

The previous prime is 198019799. The next prime is 198019831. The reversal of 198019800 is 8910891.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1445332 + ... + 1445468.

Almost surely, 2^198019800 is an apocalyptic number.

198019800 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 198019800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370389240).

198019800 is an abundant number, since it is smaller than the sum of its proper divisors (542758680).

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

198019800 is a wasteful number, since it uses less digits than its factorization.

198019800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 198019800 is about 14071.9508242461. The cubic root of 198019800 is about 582.8670959332.

The spelling of 198019800 in words is "one hundred ninety-eight million, nineteen thousand, eight hundred".