220644720 has 180 divisors, whose sum is σ = 786188520. Its totient is φ = 55302912.

The previous prime is 220644689. The next prime is 220644733. The reversal of 220644720 is 27446022.

It is a happy number.

220644720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1737297 + ... + 1737423.

It is an arithmetic number, because the mean of its divisors is an integer number (4367714).

Almost surely, 2^220644720 is an apocalyptic number.

220644720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220644720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393094260).

220644720 is an abundant number, since it is smaller than the sum of its proper divisors (565543800).

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

220644720 is a wasteful number, since it uses less digits than its factorization.

220644720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 220644720 is about 14854.1145814889. The cubic root of 220644720 is about 604.2702035056.

The spelling of 220644720 in words is "two hundred twenty million, six hundred forty-four thousand, seven hundred twenty".