220006624 has 48 divisors (see below), whose sum is σ = 465696000. Its totient is φ = 101983104.

The previous prime is 220006621. The next prime is 220006651. The reversal of 220006624 is 426600022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 220006595 and 220006604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220006621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24727 + ... + 32425.

It is an arithmetic number, because the mean of its divisors is an integer number (9702000).

Almost surely, 2^220006624 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 220006624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232848000).

220006624 is an abundant number, since it is smaller than the sum of its proper divisors (245689376).

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

220006624 is a wasteful number, since it uses less digits than its factorization.

220006624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7775 (or 7767 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 220006624 is about 14832.6202675050. The cubic root of 220006624 is about 603.6871323817.

Adding to 220006624 its reverse (426600022), we get a palindrome (646606646).

The spelling of 220006624 in words is "two hundred twenty million, six thousand, six hundred twenty-four".