220068 has 18 divisors (see below), whose sum is σ = 556374. Its totient is φ = 73344.

The previous prime is 220063. The next prime is 220123. The reversal of 220068 is 860022.

220068 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 191844 + 28224 = 438^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 a self number, because there is not a number n which added to its sum of digits gives 220068.

It is not an unprimeable number, because it can be changed into a prime (220063) by changing a digit.

220068 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3021 + ... + 3092.

2²²⁰⁰⁶⁸ is an apocalyptic number.

It is an amenable number.

220068 is an abundant number, since it is smaller than the sum of its proper divisors (336306).

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

220068 is a wasteful number, since it uses less digits than its factorization.

220068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6123 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 220068 is about 469.1140586254. The cubic root of 220068 is about 60.3743264717.

The spelling of 220068 in words is "two hundred twenty thousand, sixty-eight".