198556800 has 384 divisors, whose sum is σ = 740160960. Its totient is φ = 46448640.

The previous prime is 198556793. The next prime is 198556807. The reversal of 198556800 is 8655891.

198556800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (198556793) and next prime (198556807).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (198556807) 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, 4617579 + ... + 4617621.

Almost surely, 2^198556800 is an apocalyptic number.

198556800 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 198556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370080480).

198556800 is an abundant number, since it is smaller than the sum of its proper divisors (541604160).

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

198556800 is a wasteful number, since it uses less digits than its factorization.

198556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 198556800 is about 14091.0184159982. The cubic root of 198556800 is about 583.3935030904.

It can be divided in two parts, 1985 and 56800, that added together give a palindrome (58785).

The spelling of 198556800 in words is "one hundred ninety-eight million, five hundred fifty-six thousand, eight hundred".