199837890 has 192 divisors, whose sum is σ = 643728384. Its totient is φ = 41969664.

The previous prime is 199837879. The next prime is 199837951. The reversal of 199837890 is 98738991.

It is a Curzon 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 95 ways as a sum of consecutive naturals, for example, 503172 + ... + 503568.

It is an arithmetic number, because the mean of its divisors is an integer number (3352752).

Almost surely, 2^199837890 is an apocalyptic number.

199837890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 199837890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321864192).

199837890 is an abundant number, since it is smaller than the sum of its proper divisors (443890494).

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

199837890 is a wasteful number, since it uses less digits than its factorization.

199837890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The square root of 199837890 is about 14136.4030078376. The cubic root of 199837890 is about 584.6455007614.

The spelling of 199837890 in words is "one hundred ninety-nine million, eight hundred thirty-seven thousand, eight hundred ninety".