220816 has 20 divisors (see below), whose sum is σ = 440572. Its totient is φ = 107136.

The previous prime is 220811. The next prime is 220841. The reversal of 220816 is 618022.

It is a happy number.

220816 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 163216 + 57600 = 404^2 + 240^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220793 and 220802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220811) 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, 406 + ... + 778.

2²²⁰⁸¹⁶ is an apocalyptic number.

It is an amenable number.

220816 is a deficient number, since it is larger than the sum of its proper divisors (219756).

220816 is a wasteful number, since it uses less digits than its factorization.

220816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 220816 is about 469.9106298010. The cubic root of 220816 is about 60.4426522120.

Adding to 220816 its reverse (618022), we get a palindrome (838838).

The spelling of 220816 in words is "two hundred twenty thousand, eight hundred sixteen".