199873920 has 128 divisors (see below), whose sum is σ = 670752000. Its totient is φ = 50485248.

The previous prime is 199873909. The next prime is 199873937. The reversal of 199873920 is 29378991.

199873920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 199873920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33741 + ... + 39219.

It is an arithmetic number, because the mean of its divisors is an integer number (5240250).

Almost surely, 2^199873920 is an apocalyptic number.

199873920 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 199873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335376000).

199873920 is an abundant number, since it is smaller than the sum of its proper divisors (470878080).

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

199873920 is a wasteful number, since it uses less digits than its factorization.

199873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5520 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 199873920 is about 14137.6773198429. The cubic root of 199873920 is about 584.6806350921.

The spelling of 199873920 in words is "one hundred ninety-nine million, eight hundred seventy-three thousand, nine hundred twenty".