198346800 has 120 divisors (see below), whose sum is σ = 645115456. Its totient is φ = 52081920.

The previous prime is 198346787. The next prime is 198346847. The reversal of 198346800 is 8643891.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 79167 + ... + 81633.

Almost surely, 2^198346800 is an apocalyptic number.

198346800 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 198346800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322557728).

198346800 is an abundant number, since it is smaller than the sum of its proper divisors (446768656).

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

198346800 is a wasteful number, since it uses less digits than its factorization.

198346800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 198346800 is about 14083.5648896151. The cubic root of 198346800 is about 583.1877586853.

The spelling of 198346800 in words is "one hundred ninety-eight million, three hundred forty-six thousand, eight hundred".