198808800 has 72 divisors (see below), whose sum is σ = 647130456. Its totient is φ = 53015040.

The previous prime is 198808759. The next prime is 198808811. The reversal of 198808800 is 8808891.

It is a happy number.

198808800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39019 + ... + 43818.

It is an arithmetic number, because the mean of its divisors is an integer number (8987923).

Almost surely, 2^198808800 is an apocalyptic number.

198808800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198808800 is an abundant number, since it is smaller than the sum of its proper divisors (448321656).

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

198808800 is a wasteful number, since it uses less digits than its factorization.

198808800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82860 (or 82847 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 42.

The square root of 198808800 is about 14099.9574467443. The cubic root of 198808800 is about 583.6402049770.

It can be divided in two parts, 19880 and 8800, that added together give a triangular number (28680 = T₂₃₉).

The spelling of 198808800 in words is "one hundred ninety-eight million, eight hundred eight thousand, eight hundred".