2560168 has 32 divisors (see below), whose sum is σ = 5241600. Its totient is φ = 1165248.

The previous prime is 2560157. The next prime is 2560169. The reversal of 2560168 is 8610652.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2560169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10593 + ... + 10831.

It is an arithmetic number, because the mean of its divisors is an integer number (163800).

2^2560168 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 2560168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620800).

2560168 is an abundant number, since it is smaller than the sum of its proper divisors (2681432).

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

2560168 is a wasteful number, since it uses less digits than its factorization.

2560168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 2560168 is about 1600.0524991387. The cubic root of 2560168 is about 136.8010681266.

The spelling of 2560168 in words is "two million, five hundred sixty thousand, one hundred sixty-eight".