220176 has 60 divisors (see below), whose sum is σ = 677040. Its totient is φ = 66240.

The previous prime is 220169. The next prime is 220177. The reversal of 220176 is 671022.

It is a happy number.

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (220177) by changing a digit.

220176 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 1515 + ... + 1653.

It is an arithmetic number, because the mean of its divisors is an integer number (11284).

2²²⁰¹⁷⁶ 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 220176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338520).

220176 is an abundant number, since it is smaller than the sum of its proper divisors (456864).

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

220176 is a wasteful number, since it uses less digits than its factorization.

220176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 220176 is about 469.2291551044. The cubic root of 220176 is about 60.3842012390.

Adding to 220176 its reverse (671022), we get a palindrome (891198).

The spelling of 220176 in words is "two hundred twenty thousand, one hundred seventy-six".