199824020 has 48 divisors (see below), whose sum is σ = 459043200. Its totient is φ = 72462720.

The previous prime is 199823999. The next prime is 199824043. The reversal of 199824020 is 20428991.

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 15 ways as a sum of consecutive naturals, for example, 95546 + ... + 97614.

It is an arithmetic number, because the mean of its divisors is an integer number (9563400).

Almost surely, 2^199824020 is an apocalyptic number.

199824020 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 199824020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229521600).

199824020 is an abundant number, since it is smaller than the sum of its proper divisors (259219180).

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

199824020 is a wasteful number, since it uses less digits than its factorization.

199824020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 199824020 is about 14135.9124219132. The cubic root of 199824020 is about 584.6319744298.

The spelling of 199824020 in words is "one hundred ninety-nine million, eight hundred twenty-four thousand, twenty".