2003968 has 44 divisors (see below), whose sum is σ = 4257760. Its totient is φ = 940032.

The previous prime is 2003959. The next prime is 2003971. The reversal of 2003968 is 8693002.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 19405 + ... + 19507.

2^2003968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128880).

2003968 is an abundant number, since it is smaller than the sum of its proper divisors (2253792).

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

2003968 is a wasteful number, since it uses less digits than its factorization.

2003968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 2003968 is about 1415.6157670781. The cubic root of 2003968 is about 126.0753727248.

The spelling of 2003968 in words is "two million, three thousand, nine hundred sixty-eight".