198856000 has 224 divisors, whose sum is σ = 581997312. Its totient is φ = 65894400.

The previous prime is 198855997. The next prime is 198856039. The reversal of 198856000 is 658891.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2967967 + ... + 2968033.

Almost surely, 2^198856000 is an apocalyptic number.

198856000 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 198856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290998656).

198856000 is an abundant number, since it is smaller than the sum of its proper divisors (383141312).

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

198856000 is an equidigital number, since it uses as much as digits as its factorization.

198856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 198856000 is about 14101.6311113289. The cubic root of 198856000 is about 583.6863894481.

The spelling of 198856000 in words is "one hundred ninety-eight million, eight hundred fifty-six thousand".