2163168 has 144 divisors (see below), whose sum is σ = 7469280. Its totient is φ = 580608.

The previous prime is 2163167. The next prime is 2163181. The reversal of 2163168 is 8613612.

2163168 is a `hidden beast` number, since 21 + 631 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2163163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58446 + ... + 58482.

It is an arithmetic number, because the mean of its divisors is an integer number (51870).

2^2163168 is an apocalyptic number.

2163168 is a gapful number since it is divisible by the number (28) 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 2163168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734640).

2163168 is an abundant number, since it is smaller than the sum of its proper divisors (5306112).

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

2163168 is a wasteful number, since it uses less digits than its factorization.

2163168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 78 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2163168 is about 1470.7712262619. The cubic root of 2163168 is about 129.3292472818.

The spelling of 2163168 in words is "two million, one hundred sixty-three thousand, one hundred sixty-eight".