220126560 has 192 divisors, whose sum is σ = 733888512. Its totient is φ = 55351296.

The previous prime is 220126513. The next prime is 220126561. The reversal of 220126560 is 65621022.

220126560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 220126560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220126561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1402002 + ... + 1402158.

It is an arithmetic number, because the mean of its divisors is an integer number (3822336).

Almost surely, 2^220126560 is an apocalyptic number.

220126560 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 220126560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366944256).

220126560 is an abundant number, since it is smaller than the sum of its proper divisors (513761952).

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

220126560 is a wasteful number, since it uses less digits than its factorization.

220126560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 220126560 is about 14836.6626975206. The cubic root of 220126560 is about 603.7968119081.

Adding to 220126560 its reverse (65621022), we get a palindrome (285747582).

The spelling of 220126560 in words is "two hundred twenty million, one hundred twenty-six thousand, five hundred sixty".