199890000 has 150 divisors (see below), whose sum is σ = 699358946. Its totient is φ = 53280000.

The previous prime is 199889983. The next prime is 199890007. The reversal of 199890000 is 98991.

It can be written as a sum of positive squares in 5 ways, for example, as 61027344 + 138862656 = 7812^2 + 11784^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199890007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 88890 + ... + 91110.

Almost surely, 2^199890000 is an apocalyptic number.

199890000 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 199890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349679473).

199890000 is an abundant number, since it is smaller than the sum of its proper divisors (499468946).

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

199890000 is a wasteful number, since it uses less digits than its factorization.

199890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 199890000 is about 14138.2460015378. The cubic root of 199890000 is about 584.6963139969.

The spelling of 199890000 in words is "one hundred ninety-nine million, eight hundred ninety thousand".