2001168 has 60 divisors (see below), whose sum is σ = 6036940. Its totient is φ = 615168.

The previous prime is 2001163. The next prime is 2001179. The reversal of 2001168 is 8611002.

It can be written as a sum of positive squares in 2 ways, for example, as 589824 + 1411344 = 768^2 + 1188^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2001168.

It is not an unprimeable number, because it can be changed into a prime (2001163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1338 + ... + 2406.

2^2001168 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 2001168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018470).

2001168 is an abundant number, since it is smaller than the sum of its proper divisors (4035772).

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

2001168 is a wasteful number, since it uses less digits than its factorization.

2001168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2001168 is about 1414.6264524602. The cubic root of 2001168 is about 126.0166266797.

The spelling of 2001168 in words is "two million, one thousand, one hundred sixty-eight".