8083968 has 80 divisors (see below), whose sum is σ = 22751520. Its totient is φ = 2543616.

The previous prime is 8083967. The next prime is 8083979. The reversal of 8083968 is 8693808.

It is not an unprimeable number, because it can be changed into a prime (8083961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29046 + ... + 29322.

It is an arithmetic number, because the mean of its divisors is an integer number (284394).

Almost surely, 2^8083968 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 8083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11375760).

8083968 is an abundant number, since it is smaller than the sum of its proper divisors (14667552).

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

8083968 is a wasteful number, since it uses less digits than its factorization.

8083968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 8083968 is about 2843.2319638046. The cubic root of 8083968 is about 200.6972993759.

It can be divided in two parts, 80 and 83968, that added together give a palindrome (84048).

The spelling of 8083968 in words is "eight million, eighty-three thousand, nine hundred sixty-eight".