199840000 has 90 divisors (see below), whose sum is σ = 498863750. Its totient is φ = 79872000.

The previous prime is 199839973. The next prime is 199840001. The reversal of 199840000 is 48991.

It can be written as a sum of positive squares in 5 ways, for example, as 87310336 + 112529664 = 9344^2 + 10608^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199840001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159376 + ... + 160624.

Almost surely, 2^199840000 is an apocalyptic number.

199840000 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 199840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249431875).

199840000 is an abundant number, since it is smaller than the sum of its proper divisors (299023750).

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

199840000 is an frugal number, since it uses more digits than its factorization.

199840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 199840000 is about 14136.4776376578. The cubic root of 199840000 is about 584.6475584253.

Adding to 199840000 its reverse (48991), we get a palindrome (199888991).

The spelling of 199840000 in words is "one hundred ninety-nine million, eight hundred forty thousand".