198501200 has 60 divisors (see below), whose sum is σ = 478347360. Its totient is φ = 79159680.

The previous prime is 198501179. The next prime is 198501203. The reversal of 198501200 is 2105891.

It is a happy number.

198501200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 198501200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198501203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194291 + ... + 195309.

It is an arithmetic number, because the mean of its divisors is an integer number (7972456).

Almost surely, 2^198501200 is an apocalyptic number.

198501200 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 198501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239173680).

198501200 is an abundant number, since it is smaller than the sum of its proper divisors (279846160).

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

198501200 is a wasteful number, since it uses less digits than its factorization.

198501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 198501200 is about 14089.0453899475. The cubic root of 198501200 is about 583.3390439350.

The spelling of 198501200 in words is "one hundred ninety-eight million, five hundred one thousand, two hundred".