220064288 has 48 divisors (see below), whose sum is σ = 452035584. Its totient is φ = 105338880.

The previous prime is 220064281. The next prime is 220064297. The reversal of 220064288 is 882460022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (220064281) by changing a digit.

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, 95081 + ... + 97367.

It is an arithmetic number, because the mean of its divisors is an integer number (9417408).

Almost surely, 2^220064288 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 220064288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226017792).

220064288 is an abundant number, since it is smaller than the sum of its proper divisors (231971296).

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

220064288 is a wasteful number, since it uses less digits than its factorization.

220064288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 220064288 is about 14834.5639639323. The cubic root of 220064288 is about 603.7398701483.

The spelling of 220064288 in words is "two hundred twenty million, sixty-four thousand, two hundred eighty-eight".