220788 has 18 divisors (see below), whose sum is σ = 558194. Its totient is φ = 73584.

The previous prime is 220783. The next prime is 220789. The reversal of 220788 is 887022.

220788 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., 219024 + 1764 = 468^2 + 42^2 .

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

It is a nialpdrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 220788.

It is not an unprimeable number, because it can be changed into a prime (220783) by changing a digit.

220788 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 5 ways as a sum of consecutive naturals, for example, 3031 + ... + 3102.

2²²⁰⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

220788 is an abundant number, since it is smaller than the sum of its proper divisors (337406).

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

220788 is a wasteful number, since it uses less digits than its factorization.

220788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6143 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 220788 is about 469.8808359574. The cubic root of 220788 is about 60.4400973461.

The spelling of 220788 in words is "two hundred twenty thousand, seven hundred eighty-eight".