198127200 has 144 divisors (see below), whose sum is σ = 665957376. Its totient is φ = 51110400.

The previous prime is 198127141. The next prime is 198127213. The reversal of 198127200 is 2721891.

It is a super-3 number, since 3×198127200³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73069 + ... + 75731.

It is an arithmetic number, because the mean of its divisors is an integer number (4624704).

Almost surely, 2^198127200 is an apocalyptic number.

198127200 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 198127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332978688).

198127200 is an abundant number, since it is smaller than the sum of its proper divisors (467830176).

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

198127200 is a wasteful number, since it uses less digits than its factorization.

198127200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 198127200 is about 14075.7664089740. The cubic root of 198127200 is about 582.9724534312.

The spelling of 198127200 in words is "one hundred ninety-eight million, one hundred twenty-seven thousand, two hundred".