198082800 has 120 divisors (see below), whose sum is σ = 705066480. Its totient is φ = 52819200.

The previous prime is 198082747. The next prime is 198082813. The reversal of 198082800 is 8280891.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 1630 + ... + 19970.

It is an arithmetic number, because the mean of its divisors is an integer number (5875554).

Almost surely, 2^198082800 is an apocalyptic number.

198082800 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 198082800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352533240).

198082800 is an abundant number, since it is smaller than the sum of its proper divisors (506983680).

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

198082800 is a wasteful number, since it uses less digits than its factorization.

198082800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18368 (or 18351 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 198082800 is about 14074.1891418298. The cubic root of 198082800 is about 582.9289024352.

The spelling of 198082800 in words is "one hundred ninety-eight million, eighty-two thousand, eight hundred".