199835820 has 72 divisors (see below), whose sum is σ = 610318800. Its totient is φ = 52924800.

The previous prime is 199835813. The next prime is 199835837. The reversal of 199835820 is 28538991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 23095 + ... + 30545.

It is an arithmetic number, because the mean of its divisors is an integer number (8476650).

Almost surely, 2^199835820 is an apocalyptic number.

199835820 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 199835820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305159400).

199835820 is an abundant number, since it is smaller than the sum of its proper divisors (410482980).

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

199835820 is a wasteful number, since it uses less digits than its factorization.

199835820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7615 (or 7610 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 199835820 is about 14136.3297924178. The cubic root of 199835820 is about 584.6434820912.

The spelling of 199835820 in words is "one hundred ninety-nine million, eight hundred thirty-five thousand, eight hundred twenty".