220800064 has 56 divisors (see below), whose sum is σ = 465795360. Its totient is φ = 103550976.

The previous prime is 220800059. The next prime is 220800071. The reversal of 220800064 is 460008022.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129264 + ... + 130960.

Almost surely, 2^220800064 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 220800064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232897680).

220800064 is an abundant number, since it is smaller than the sum of its proper divisors (244995296).

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

220800064 is a wasteful number, since it uses less digits than its factorization.

220800064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 220800064 is about 14859.3426503328. The cubic root of 220800064 is about 604.4119815482.

Adding to 220800064 its reverse (460008022), we get a palindrome (680808086).

The spelling of 220800064 in words is "two hundred twenty million, eight hundred thousand, sixty-four".