9819936 has 72 divisors (see below), whose sum is σ = 31921344. Its totient is φ = 2805120.

The previous prime is 9819913. The next prime is 9819947. The reversal of 9819936 is 6399189.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×9819936² = 192862286088192, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 9819891 and 9819900.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 420 + ... + 4451.

It is an arithmetic number, because the mean of its divisors is an integer number (443352).

Almost surely, 2^9819936 is an apocalyptic number.

9819936 is a gapful number since it is divisible by the number (96) 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 9819936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15960672).

9819936 is an abundant number, since it is smaller than the sum of its proper divisors (22101408).

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

9819936 is a wasteful number, since it uses less digits than its factorization.

9819936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894 (or 4883 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 9819936 is about 3133.6777115715. The cubic root of 9819936 is about 214.1425085083.

The spelling of 9819936 in words is "nine million, eight hundred nineteen thousand, nine hundred thirty-six".