220085824 has 56 divisors (see below), whose sum is σ = 503814080. Its totient is φ = 93436416.

The previous prime is 220085713. The next prime is 220085857. The reversal of 220085824 is 428580022.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46579 + ... + 51085.

It is an arithmetic number, because the mean of its divisors is an integer number (8996680).

Almost surely, 2^220085824 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 220085824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251907040).

220085824 is an abundant number, since it is smaller than the sum of its proper divisors (283728256).

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

220085824 is a wasteful number, since it uses less digits than its factorization.

220085824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4635 (or 4625 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 220085824 is about 14835.2898185374. The cubic root of 220085824 is about 603.7595639657.

The spelling of 220085824 in words is "two hundred twenty million, eighty-five thousand, eight hundred twenty-four".