220064064 has 112 divisors (see below), whose sum is σ = 657270720. Its totient is φ = 64368640.

The previous prime is 220064063. The next prime is 220064081. The reversal of 220064064 is 460460022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220064063) 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 15 ways as a sum of consecutive naturals, for example, 59452 + ... + 63044.

Almost surely, 2^220064064 is an apocalyptic number.

220064064 is a gapful number since it is divisible by the number (24) 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 220064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328635360).

220064064 is an abundant number, since it is smaller than the sum of its proper divisors (437206656).

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

220064064 is a wasteful number, since it uses less digits than its factorization.

220064064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 220064064 is about 14834.5564139950. The cubic root of 220064064 is about 603.7396653024.

The spelling of 220064064 in words is "two hundred twenty million, sixty-four thousand, sixty-four".