198345600 has 288 divisors, whose sum is σ = 725109840. Its totient is φ = 51609600.

The previous prime is 198345571. The next prime is 198345601. The reversal of 198345600 is 6543891.

198345600 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198345601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2044752 + ... + 2044848.

Almost surely, 2^198345600 is an apocalyptic number.

198345600 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 198345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362554920).

198345600 is an abundant number, since it is smaller than the sum of its proper divisors (526764240).

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

198345600 is a wasteful number, since it uses less digits than its factorization.

198345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 198345600 is about 14083.5222867009. The cubic root of 198345600 is about 583.1865825857.

The spelling of 198345600 in words is "one hundred ninety-eight million, three hundred forty-five thousand, six hundred".