2005968 has 60 divisors (see below), whose sum is σ = 5485760. Its totient is φ = 631488.

The previous prime is 2005957. The next prime is 2005981. The reversal of 2005968 is 8695002.

It is a congruent number.

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, 25353 + ... + 25431.

2^2005968 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 2005968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742880).

2005968 is an abundant number, since it is smaller than the sum of its proper divisors (3479792).

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

2005968 is a wasteful number, since it uses less digits than its factorization.

2005968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2005968 is about 1416.3219972873. The cubic root of 2005968 is about 126.1173006910.

The spelling of 2005968 in words is "two million, five thousand, nine hundred sixty-eight".