198052800 has 336 divisors, whose sum is σ = 737762304. Its totient is φ = 46464000.

The previous prime is 198052781. The next prime is 198052801. The reversal of 198052800 is 8250891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198052801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6388785 + ... + 6388815.

Almost surely, 2^198052800 is an apocalyptic number.

198052800 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 198052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368881152).

198052800 is an abundant number, since it is smaller than the sum of its proper divisors (539709504).

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

198052800 is a wasteful number, since it uses less digits than its factorization.

198052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 198052800 is about 14073.1233207131. The cubic root of 198052800 is about 582.8994724022.

The spelling of 198052800 in words is "one hundred ninety-eight million, fifty-two thousand, eight hundred".