199794820 has 48 divisors (see below), whose sum is σ = 435037680. Its totient is φ = 77013504.

The previous prime is 199794817. The next prime is 199794821. The reversal of 199794820 is 28497991.

It can be written as a sum of positive squares in 8 ways, for example, as 13089924 + 186704896 = 3618^2 + 13664^2 .

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (199794821) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 79422 + ... + 81898.

It is an arithmetic number, because the mean of its divisors is an integer number (9063285).

Almost surely, 2^199794820 is an apocalyptic number.

199794820 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 199794820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217518840).

199794820 is an abundant number, since it is smaller than the sum of its proper divisors (235242860).

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

199794820 is a wasteful number, since it uses less digits than its factorization.

199794820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 49.

The square root of 199794820 is about 14134.8795537847. The cubic root of 199794820 is about 584.6034958961.

The spelling of 199794820 in words is "one hundred ninety-nine million, seven hundred ninety-four thousand, eight hundred twenty".