199891800 has 192 divisors, whose sum is σ = 698541600. Its totient is φ = 53187840.

The previous prime is 199891793. The next prime is 199891807. The reversal of 199891800 is 8198991.

It is an interprime number because it is at equal distance from previous prime (199891793) and next prime (199891807).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199891807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437172 + ... + 437628.

Almost surely, 2^199891800 is an apocalyptic number.

199891800 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 199891800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349270800).

199891800 is an abundant number, since it is smaller than the sum of its proper divisors (498649800).

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

199891800 is an equidigital number, since it uses as much as digits as its factorization.

199891800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 45.

The square root of 199891800 is about 14138.3096585129. The cubic root of 199891800 is about 584.6980690459.

The spelling of 199891800 in words is "one hundred ninety-nine million, eight hundred ninety-one thousand, eight hundred".