4003840 has 96 divisors (see below), whose sum is σ = 10614240. Its totient is φ = 1441792.

The previous prime is 4003819. The next prime is 4003841. The reversal of 4003840 is 483004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174069 + ... + 174091.

It is an arithmetic number, because the mean of its divisors is an integer number (110565).

Almost surely, 2^4003840 is an apocalyptic number.

4003840 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 4003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307120).

4003840 is an abundant number, since it is smaller than the sum of its proper divisors (6610400).

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

4003840 is a wasteful number, since it uses less digits than its factorization.

4003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 47 counting only the distinct ones).

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

The square root of 4003840 is about 2000.9597697105. The cubic root of 4003840 is about 158.7908857842.

Adding to 4003840 its reverse (483004), we get a palindrome (4486844).

The spelling of 4003840 in words is "four million, three thousand, eight hundred forty".