4083040 has 72 divisors (see below), whose sum is σ = 10514448. Its totient is φ = 1497600.

The previous prime is 4082993. The next prime is 4083059. The reversal of 4083040 is 403804.

4083040 is digitally balanced in base 2, 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 = 4082999 and 4083017.

It is a congruent number.

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, 26965 + ... + 27115.

It is an arithmetic number, because the mean of its divisors is an integer number (146034).

Almost surely, 2^4083040 is an apocalyptic number.

4083040 is a gapful number since it is divisible by the number (40) 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 4083040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5257224).

4083040 is an abundant number, since it is smaller than the sum of its proper divisors (6431408).

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

4083040 is a wasteful number, since it uses less digits than its factorization.

4083040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4083040 is about 2020.6533596834. The cubic root of 4083040 is about 159.8310717080.

Adding to 4083040 its reverse (403804), we get a palindrome (4486844).

The spelling of 4083040 in words is "four million, eighty-three thousand, forty".