8083040 has 72 divisors (see below), whose sum is σ = 22235472. Its totient is φ = 2768640.

The previous prime is 8083021. The next prime is 8083063. The reversal of 8083040 is 403808.

8083040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 8082997 and 8083015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7325 + ... + 8355.

It is an arithmetic number, because the mean of its divisors is an integer number (308826).

Almost surely, 2^8083040 is an apocalyptic number.

8083040 is a gapful number since it is divisible by the number (80) 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 8083040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11117736).

8083040 is an abundant number, since it is smaller than the sum of its proper divisors (14152432).

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

8083040 is a wasteful number, since it uses less digits than its factorization.

8083040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 8083040 is about 2843.0687645571. The cubic root of 8083040 is about 200.6896193924.

Adding to 8083040 its product of nonzero digits (768), we get a palindrome (8083808).

Adding to 8083040 its reverse (403808), we get a palindrome (8486848).

The spelling of 8083040 in words is "eight million, eighty-three thousand, forty".