220686768 has 120 divisors (see below), whose sum is σ = 661513216. Its totient is φ = 71150400.

The previous prime is 220686749. The next prime is 220686769. The reversal of 220686768 is 867686022.

It is a happy number.

220686768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (220686769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119613 + ... + 121443.

Almost surely, 2^220686768 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 220686768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330756608).

220686768 is an abundant number, since it is smaller than the sum of its proper divisors (440826448).

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

220686768 is a wasteful number, since it uses less digits than its factorization.

220686768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 220686768 is about 14855.5298794759. The cubic root of 220686768 is about 604.3085860838.

The spelling of 220686768 in words is "two hundred twenty million, six hundred eighty-six thousand, seven hundred sixty-eight".