198610800 has 240 divisors, whose sum is σ = 693765120. Its totient is φ = 48384000.

The previous prime is 198610799. The next prime is 198610801. The reversal of 198610800 is 8016891.

It is an interprime number because it is at equal distance from previous prime (198610799) and next prime (198610801).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198610801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 706660 + ... + 706940.

It is an arithmetic number, because the mean of its divisors is an integer number (2890688).

Almost surely, 2^198610800 is an apocalyptic number.

198610800 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 198610800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346882560).

198610800 is an abundant number, since it is smaller than the sum of its proper divisors (495154320).

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

198610800 is a wasteful number, since it uses less digits than its factorization.

198610800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 198610800 is about 14092.9343999041. The cubic root of 198610800 is about 583.4463853450.

The spelling of 198610800 in words is "one hundred ninety-eight million, six hundred ten thousand, eight hundred".