2003960 has 64 divisors (see below), whose sum is σ = 5469120. Its totient is φ = 645120.

The previous prime is 2003959. The next prime is 2003971. The reversal of 2003960 is 693002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

2003960 is a modest number, since divided by 3960 gives 200 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4550 + ... + 4970.

It is an arithmetic number, because the mean of its divisors is an integer number (85455).

2^2003960 is an apocalyptic number.

2003960 is a gapful number since it is divisible by the number (20) 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 2003960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734560).

2003960 is an abundant number, since it is smaller than the sum of its proper divisors (3465160).

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

2003960 is a wasteful number, since it uses less digits than its factorization.

2003960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 2003960 is about 1415.6129414497. The cubic root of 2003960 is about 126.0752049569.

Adding to 2003960 its reverse (693002), we get a palindrome (2696962).

The spelling of 2003960 in words is "two million, three thousand, nine hundred sixty".