198258000 has 160 divisors (see below), whose sum is σ = 646244352. Its totient is φ = 52288000.

The previous prime is 198257987. The next prime is 198258019. The reversal of 198258000 is 852891.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 1037905 + ... + 1038095.

Almost surely, 2^198258000 is an apocalyptic number.

198258000 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 198258000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323122176).

198258000 is an abundant number, since it is smaller than the sum of its proper divisors (447986352).

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

198258000 is a wasteful number, since it uses less digits than its factorization.

198258000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 198258000 is about 14080.4119257925. The cubic root of 198258000 is about 583.1007145060.

The spelling of 198258000 in words is "one hundred ninety-eight million, two hundred fifty-eight thousand".