220006566 has 72 divisors (see below), whose sum is σ = 533048256. Its totient is φ = 65482560.

The previous prime is 220006561. The next prime is 220006603. The reversal of 220006566 is 665600022.

220006566 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 0 + 656 + 6 = 666.

It is a super-2 number, since 2×220006566² = 96805778166224712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220006561) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93136 + ... + 95468.

It is an arithmetic number, because the mean of its divisors is an integer number (7403448).

Almost surely, 2^220006566 is an apocalyptic number.

220006566 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220006566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266524128).

220006566 is an abundant number, since it is smaller than the sum of its proper divisors (313041690).

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

220006566 is a wasteful number, since it uses less digits than its factorization.

220006566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 220006566 is about 14832.6183123547. The cubic root of 220006566 is about 603.6870793320.

Adding to 220006566 its reverse (665600022), we get a palindrome (885606588).

The spelling of 220006566 in words is "two hundred twenty million, six thousand, five hundred sixty-six".