220808 has 16 divisors (see below), whose sum is σ = 473280. Its totient is φ = 94608.

The previous prime is 220807. The next prime is 220811. The reversal of 220808 is 808022.

220808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 220808.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 220808.

It is not an unprimeable number, because it can be changed into a prime (220807) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1916 + ... + 2027.

It is an arithmetic number, because the mean of its divisors is an integer number (29580).

2²²⁰⁸⁰⁸ is an apocalyptic number.

220808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

220808 is an abundant number, since it is smaller than the sum of its proper divisors (252472).

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

220808 is a wasteful number, since it uses less digits than its factorization.

220808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 220808 is about 469.9021174670. The cubic root of 220808 is about 60.4419222724.

It can be divided in two parts, 2 and 20808, that multiplied together give a triangular number (41616 = T₂₈₈).

The spelling of 220808 in words is "two hundred twenty thousand, eight hundred eight".