199824 has 40 divisors (see below), whose sum is σ = 541632. Its totient is φ = 63360.

The previous prime is 199819. The next prime is 199831. The reversal of 199824 is 428991.

It is an unprimeable number.

199824 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1014 + ... + 1194.

2¹⁹⁹⁸²⁴ 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 199824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270816).

199824 is an abundant number, since it is smaller than the sum of its proper divisors (341808).

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

199824 is a wasteful number, since it uses less digits than its factorization.

199824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 199824 is about 447.0167782086. The cubic root of 199824 is about 58.4631954925.

The spelling of 199824 in words is "one hundred ninety-nine thousand, eight hundred twenty-four".