220168 has 32 divisors (see below), whose sum is σ = 466200. Its totient is φ = 96768.

The previous prime is 220163. The next prime is 220169. The reversal of 220168 is 861022.

It is a happy number.

220168 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in 4 ways, for example, as 161604 + 58564 = 402^2 + 242^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220163) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2980 + ... + 3052.

2²²⁰¹⁶⁸ 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 220168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233100).

220168 is an abundant number, since it is smaller than the sum of its proper divisors (246032).

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

220168 is a wasteful number, since it uses less digits than its factorization.

220168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 220168 is about 469.2206304075. The cubic root of 220168 is about 60.3834698855.

The spelling of 220168 in words is "two hundred twenty thousand, one hundred sixty-eight".