198882000 has 320 divisors, whose sum is σ = 742809600. Its totient is φ = 50803200.

The previous prime is 198881999. The next prime is 198882007. The reversal of 198882000 is 288891.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198882007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1565937 + ... + 1566063.

It is an arithmetic number, because the mean of its divisors is an integer number (2321280).

Almost surely, 2^198882000 is an apocalyptic number.

198882000 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 198882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371404800).

198882000 is an abundant number, since it is smaller than the sum of its proper divisors (543927600).

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

198882000 is a wasteful number, since it uses less digits than its factorization.

198882000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 166 counting only the distinct ones).

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

The square root of 198882000 is about 14102.5529603686. The cubic root of 198882000 is about 583.7118269251.

The spelling of 198882000 in words is "one hundred ninety-eight million, eight hundred eighty-two thousand".