8083936 has 48 divisors (see below), whose sum is σ = 18385920. Its totient is φ = 3427200.

The previous prime is 8083919. The next prime is 8083937. The reversal of 8083936 is 6393808.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8083895 and 8083904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8083937) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 33705 + ... + 33943.

It is an arithmetic number, because the mean of its divisors is an integer number (383040).

Almost surely, 2^8083936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8083936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192960).

8083936 is an abundant number, since it is smaller than the sum of its proper divisors (10301984).

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

8083936 is a wasteful number, since it uses less digits than its factorization.

8083936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 8083936 is about 2843.2263364003. The cubic root of 8083936 is about 200.6970345586.

The spelling of 8083936 in words is "eight million, eighty-three thousand, nine hundred thirty-six".