198856800 has 216 divisors, whose sum is σ = 712923120. Its totient is φ = 52147200.

The previous prime is 198856787. The next prime is 198856807. The reversal of 198856800 is 8658891.

198856800 is a `hidden beast` number, since 1 + 9 + 88 + 568 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198856807) 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, 511006 + ... + 511394.

It is an arithmetic number, because the mean of its divisors is an integer number (3300570).

Almost surely, 2^198856800 is an apocalyptic number.

198856800 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 198856800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356461560).

198856800 is an abundant number, since it is smaller than the sum of its proper divisors (514066320).

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

198856800 is a wasteful number, since it uses less digits than its factorization.

198856800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 198856800 is about 14101.6594768134. The cubic root of 198856800 is about 583.6871721728.

The spelling of 198856800 in words is "one hundred ninety-eight million, eight hundred fifty-six thousand, eight hundred".