198508800 has 324 divisors, whose sum is σ = 765690576. Its totient is φ = 45158400.

The previous prime is 198508787. The next prime is 198508801. The reversal of 198508800 is 8805891.

It is not an unprimeable number, because it can be changed into a prime (198508801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 940695 + ... + 940905.

Almost surely, 2^198508800 is an apocalyptic number.

198508800 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 198508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382845288).

198508800 is an abundant number, since it is smaller than the sum of its proper divisors (567181776).

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

198508800 is a wasteful number, since it uses less digits than its factorization.

198508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The square root of 198508800 is about 14089.3151004582. The cubic root of 198508800 is about 583.3464885922.

The spelling of 198508800 in words is "one hundred ninety-eight million, five hundred eight thousand, eight hundred".