4083840 has 96 divisors (see below), whose sum is σ = 14121900. Its totient is φ = 1087488.

The previous prime is 4083829. The next prime is 4083853. The reversal of 4083840 is 483804.

It can be written as a sum of positive squares in 2 ways, for example, as 3779136 + 304704 = 1944^2 + 552^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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, 5406 + ... + 6114.

Almost surely, 2^4083840 is an apocalyptic number.

4083840 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 4083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7060950).

4083840 is an abundant number, since it is smaller than the sum of its proper divisors (10038060).

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

4083840 is a wasteful number, since it uses less digits than its factorization.

4083840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4083840 is about 2020.8513057620. The cubic root of 4083840 is about 159.8415097237.

The spelling of 4083840 in words is "four million, eighty-three thousand, eight hundred forty".