198210000 has 100 divisors (see below), whose sum is σ = 639945152. Its totient is φ = 52848000.

The previous prime is 198209993. The next prime is 198210011. The reversal of 198210000 is 12891.

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 26697 + ... + 33303.

Almost surely, 2^198210000 is an apocalyptic number.

198210000 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 198210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319972576).

198210000 is an abundant number, since it is smaller than the sum of its proper divisors (441735152).

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

198210000 is an equidigital number, since it uses as much as digits as its factorization.

198210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6638 (or 6617 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 198210000 is about 14078.7073270240. The cubic root of 198210000 is about 583.0536527760.

Adding to 198210000 its reverse (12891), we get a palindrome (198222891).

The spelling of 198210000 in words is "one hundred ninety-eight million, two hundred ten thousand".