220167168 has 176 divisors, whose sum is σ = 653402400. Its totient is φ = 65470464.

The previous prime is 220167139. The next prime is 220167169. The reversal of 220167168 is 861761022.

220167168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220167169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1477558 + ... + 1477706.

Almost surely, 2^220167168 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 220167168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326701200).

220167168 is an abundant number, since it is smaller than the sum of its proper divisors (433235232).

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

220167168 is a wasteful number, since it uses less digits than its factorization.

220167168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 220167168 is about 14838.0311362391. The cubic root of 220167168 is about 603.8339382373.

The spelling of 220167168 in words is "two hundred twenty million, one hundred sixty-seven thousand, one hundred sixty-eight".