220561600 has 168 divisors, whose sum is σ = 634959360. Its totient is φ = 73835520.

The previous prime is 220561597. The next prime is 220561667. The reversal of 220561600 is 6165022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526191 + ... + 526609.

It is an arithmetic number, because the mean of its divisors is an integer number (3779520).

Almost surely, 2^220561600 is an apocalyptic number.

220561600 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 220561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317479680).

220561600 is an abundant number, since it is smaller than the sum of its proper divisors (414397760).

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

220561600 is a wasteful number, since it uses less digits than its factorization.

220561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 220561600 is about 14851.3164399659. The cubic root of 220561600 is about 604.1943149192.

The spelling of 220561600 in words is "two hundred twenty million, five hundred sixty-one thousand, six hundred".