198765000 has 240 divisors, whose sum is σ = 770003520. Its totient is φ = 45360000.

The previous prime is 198764989. The next prime is 198765013. The reversal of 198765000 is 567891.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 314685 + ... + 315315.

It is an arithmetic number, because the mean of its divisors is an integer number (3208348).

Almost surely, 2^198765000 is an apocalyptic number.

198765000 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 198765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385001760).

198765000 is an abundant number, since it is smaller than the sum of its proper divisors (571238520).

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

198765000 is a wasteful number, since it uses less digits than its factorization.

198765000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 198765000 is about 14098.4041650110. The cubic root of 198765000 is about 583.5973408138.

The spelling of 198765000 in words is "one hundred ninety-eight million, seven hundred sixty-five thousand".