198735200 has 144 divisors (see below), whose sum is σ = 509873616. Its totient is φ = 75571200.

The previous prime is 198735197. The next prime is 198735211. The reversal of 198735200 is 2537891.

198735200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2394359 + ... + 2394441.

It is an arithmetic number, because the mean of its divisors is an integer number (3540789).

Almost surely, 2^198735200 is an apocalyptic number.

198735200 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 198735200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254936808).

198735200 is an abundant number, since it is smaller than the sum of its proper divisors (311138416).

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

198735200 is a wasteful number, since it uses less digits than its factorization.

198735200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 198735200 is about 14097.3472681920. The cubic root of 198735200 is about 583.5681739250.

The spelling of 198735200 in words is "one hundred ninety-eight million, seven hundred thirty-five thousand, two hundred".