220968 has 80 divisors (see below), whose sum is σ = 696960. Its totient is φ = 64800.

The previous prime is 220939. The next prime is 220973. The reversal of 220968 is 869022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 220968.

It is an unprimeable number.

220968 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 19 ways as a sum of consecutive naturals, for example, 7113 + ... + 7143.

It is an arithmetic number, because the mean of its divisors is an integer number (8712).

2²²⁰⁹⁶⁸ 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 220968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348480).

220968 is an abundant number, since it is smaller than the sum of its proper divisors (475992).

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

220968 is a wasteful number, since it uses less digits than its factorization.

220968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 220968 is about 470.0723348592. The cubic root of 220968 is about 60.4565177168.

The spelling of 220968 in words is "two hundred twenty thousand, nine hundred sixty-eight".