220626 has 48 divisors (see below), whose sum is σ = 584064. Its totient is φ = 58752.

The previous prime is 220613. The next prime is 220663. The reversal of 220626 is 626022.

220626 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 220599 and 220608.

It is an unprimeable number.

220626 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2091 + ... + 2193.

It is an arithmetic number, because the mean of its divisors is an integer number (12168).

2²²⁰⁶²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292032).

220626 is an abundant number, since it is smaller than the sum of its proper divisors (363438).

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

220626 is a wasteful number, since it uses less digits than its factorization.

220626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 220626 is about 469.7084201928. The cubic root of 220626 is about 60.4253113803.

Adding to 220626 its reverse (626022), we get a palindrome (846648).

The spelling of 220626 in words is "two hundred twenty thousand, six hundred twenty-six".