198538200 has 216 divisors, whose sum is σ = 775960380. Its totient is φ = 45360000.

The previous prime is 198538187. The next prime is 198538213. The reversal of 198538200 is 2835891.

198538200 = 366³ + 367³ + ... + 369³.

It is an interprime number because it is at equal distance from previous prime (198538187) and next prime (198538213).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 87075 + ... + 89325.

Almost surely, 2^198538200 is an apocalyptic number.

198538200 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 198538200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387980190).

198538200 is an abundant number, since it is smaller than the sum of its proper divisors (577422180).

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

198538200 is a wasteful number, since it uses less digits than its factorization.

198538200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 198538200 is about 14090.3584056617. The cubic root of 198538200 is about 583.3752858716.

The spelling of 198538200 in words is "one hundred ninety-eight million, five hundred thirty-eight thousand, two hundred".