4003960 has 32 divisors (see below), whose sum is σ = 9302400. Its totient is φ = 1549440.

The previous prime is 4003949. The next prime is 4003963. The reversal of 4003960 is 693004.

4003960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

4003960 is a modest number, since divided by 3960 gives 400 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003963) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 375 + ... + 2854.

It is an arithmetic number, because the mean of its divisors is an integer number (290700).

Almost surely, 2^4003960 is an apocalyptic number.

4003960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4003960 is an abundant number, since it is smaller than the sum of its proper divisors (5298440).

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

4003960 is a wasteful number, since it uses less digits than its factorization.

4003960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 4003960 is about 2000.9897550962. The cubic root of 4003960 is about 158.7924721542.

Adding to 4003960 its reverse (693004), we get a palindrome (4696964).

The spelling of 4003960 in words is "four million, three thousand, nine hundred sixty".