199903824 has 60 divisors (see below), whose sum is σ = 563592276. Its totient is φ = 66141696.

The previous prime is 199903819. The next prime is 199903849. The reversal of 199903824 is 428309991.

It can be written as a sum of positive squares in 2 ways, for example, as 139996224 + 59907600 = 11832^2 + 7740^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 199903824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14662 + ... + 24794.

Almost surely, 2^199903824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199903824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281796138).

199903824 is an abundant number, since it is smaller than the sum of its proper divisors (363688452).

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

199903824 is a wasteful number, since it uses less digits than its factorization.

199903824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10284 (or 10275 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 199903824 is about 14138.7348797550. The cubic root of 199903824 is about 584.7097925026.

The spelling of 199903824 in words is "one hundred ninety-nine million, nine hundred three thousand, eight hundred twenty-four".