199743040 has 112 divisors (see below), whose sum is σ = 567366912. Its totient is φ = 65488896.

The previous prime is 199743031. The next prime is 199743043. The reversal of 199743040 is 40347991.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (199743043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49582 + ... + 53458.

It is an arithmetic number, because the mean of its divisors is an integer number (5065776).

Almost surely, 2^199743040 is an apocalyptic number.

199743040 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 199743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283683456).

199743040 is an abundant number, since it is smaller than the sum of its proper divisors (367623872).

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

199743040 is a wasteful number, since it uses less digits than its factorization.

199743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3924 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 199743040 is about 14133.0477958578. The cubic root of 199743040 is about 584.5529884398.

The spelling of 199743040 in words is "one hundred ninety-nine million, seven hundred forty-three thousand, forty".