220164 has 24 divisors (see below), whose sum is σ = 587328. Its totient is φ = 62880.

The previous prime is 220163. The next prime is 220169. The reversal of 220164 is 461022.

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, 1227 + ... + 1394.

It is an arithmetic number, because the mean of its divisors is an integer number (24472).

2²²⁰¹⁶⁴ is an apocalyptic number.

It is an amenable number.

220164 is an abundant number, since it is smaller than the sum of its proper divisors (367164).

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

220164 is a wasteful number, since it uses less digits than its factorization.

220164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 220164 is about 469.2163680009. The cubic root of 220164 is about 60.3831042021.

Adding to 220164 its reverse (461022), we get a palindrome (681186).

The spelling of 220164 in words is "two hundred twenty thousand, one hundred sixty-four".