198858000 has 320 divisors, whose sum is σ = 735381504. Its totient is φ = 45760000.

The previous prime is 198857983. The next prime is 198858001. The reversal of 198858000 is 858891.

It is a self number, because there is not a number n which added to its sum of digits gives 198858000.

It is not an unprimeable number, because it can be changed into a prime (198858001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1517935 + ... + 1518065.

Almost surely, 2^198858000 is an apocalyptic number.

198858000 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 198858000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367690752).

198858000 is an abundant number, since it is smaller than the sum of its proper divisors (536523504).

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

198858000 is a wasteful number, since it uses less digits than its factorization.

198858000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The square root of 198858000 is about 14101.7020249330. The cubic root of 198858000 is about 583.6883462559.

The spelling of 198858000 in words is "one hundred ninety-eight million, eight hundred fifty-eight thousand".