199936 has 36 divisors (see below), whose sum is σ = 441504. Its totient is φ = 89600.

The previous prime is 199933. The next prime is 199961. The reversal of 199936 is 639991.

It is a junction number, because it is equal to n+sod(n) for n = 199895 and 199904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2781 + ... + 2851.

It is an arithmetic number, because the mean of its divisors is an integer number (12264).

2¹⁹⁹⁹³⁶ is an apocalyptic number.

199936 is a gapful number since it is divisible by the number (16) 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 199936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220752).

199936 is an abundant number, since it is smaller than the sum of its proper divisors (241568).

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

199936 is an equidigital number, since it uses as much as digits as its factorization.

199936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 84 counting only the distinct ones).

The product of its digits is 13122, while the sum is 37.

The square root of 199936 is about 447.1420355994. The cubic root of 199936 is about 58.4741161943.

The spelling of 199936 in words is "one hundred ninety-nine thousand, nine hundred thirty-six".