199783320 has 256 divisors, whose sum is σ = 718502400. Its totient is φ = 43868160.

The previous prime is 199783307. The next prime is 199783321. The reversal of 199783320 is 23387991.

199783320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199783321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 650607 + ... + 650913.

It is an arithmetic number, because the mean of its divisors is an integer number (2806650).

Almost surely, 2^199783320 is an apocalyptic number.

199783320 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 199783320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359251200).

199783320 is an abundant number, since it is smaller than the sum of its proper divisors (518719080).

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

199783320 is a wasteful number, since it uses less digits than its factorization.

199783320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 199783320 is about 14134.4727528125. The cubic root of 199783320 is about 584.5922792736.

The spelling of 199783320 in words is "one hundred ninety-nine million, seven hundred eighty-three thousand, three hundred twenty".