199759920 has 160 divisors (see below), whose sum is σ = 662100480. Its totient is φ = 49674240.

The previous prime is 199759907. The next prime is 199759943. The reversal of 199759920 is 29957991.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 323452 + ... + 324068.

It is an arithmetic number, because the mean of its divisors is an integer number (4138128).

Almost surely, 2^199759920 is an apocalyptic number.

199759920 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 199759920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331050240).

199759920 is an abundant number, since it is smaller than the sum of its proper divisors (462340560).

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

199759920 is a wasteful number, since it uses less digits than its factorization.

199759920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 51.

The square root of 199759920 is about 14133.6449651178. The cubic root of 199759920 is about 584.5694545563.

The spelling of 199759920 in words is "one hundred ninety-nine million, seven hundred fifty-nine thousand, nine hundred twenty".