198382800 has 480 divisors, whose sum is σ = 841374720. Its totient is φ = 38707200.

The previous prime is 198382799. The next prime is 198382831. The reversal of 198382800 is 8283891.

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 95 ways as a sum of consecutive naturals, for example, 1755544 + ... + 1755656.

It is an arithmetic number, because the mean of its divisors is an integer number (1752864).

Almost surely, 2^198382800 is an apocalyptic number.

198382800 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 198382800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420687360).

198382800 is an abundant number, since it is smaller than the sum of its proper divisors (642991920).

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

198382800 is a wasteful number, since it uses less digits than its factorization.

198382800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 198382800 is about 14084.8429171219. The cubic root of 198382800 is about 583.2230394649.

The spelling of 198382800 in words is "one hundred ninety-eight million, three hundred eighty-two thousand, eight hundred".