220806096 has 80 divisors (see below), whose sum is σ = 657993600. Its totient is φ = 62498304.

The previous prime is 220806083. The next prime is 220806101. The reversal of 220806096 is 690608022.

220806096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220806096² = 97510664061522432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33610 + ... + 39638.

It is an arithmetic number, because the mean of its divisors is an integer number (8224920).

Almost surely, 2^220806096 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 220806096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328996800).

220806096 is an abundant number, since it is smaller than the sum of its proper divisors (437187504).

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

220806096 is a wasteful number, since it uses less digits than its factorization.

220806096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6156 (or 6150 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 220806096 is about 14859.5456188943. The cubic root of 220806096 is about 604.4174854414.

The spelling of 220806096 in words is "two hundred twenty million, eight hundred six thousand, ninety-six".