220065600 has 252 divisors, whose sum is σ = 767998464. Its totient is φ = 55157760.

The previous prime is 220065569. The next prime is 220065607. The reversal of 220065600 is 6560022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220065607) 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, 1732737 + ... + 1732863.

Almost surely, 2^220065600 is an apocalyptic number.

220065600 is a gapful number since it is divisible by the number (20) 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 220065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383999232).

220065600 is an abundant number, since it is smaller than the sum of its proper divisors (547932864).

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

220065600 is a wasteful number, since it uses less digits than its factorization.

220065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 220065600 is about 14834.6081849168. The cubic root of 220065600 is about 603.7410699569.

The spelling of 220065600 in words is "two hundred twenty million, sixty-five thousand, six hundred".