220541360 has 80 divisors (see below), whose sum is σ = 581316960. Its totient is φ = 77137920.

The previous prime is 220541353. The next prime is 220541381. The reversal of 220541360 is 63145022.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14180 + ... + 25340.

It is an arithmetic number, because the mean of its divisors is an integer number (7266462).

Almost surely, 2^220541360 is an apocalyptic number.

220541360 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 220541360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290658480).

220541360 is an abundant number, since it is smaller than the sum of its proper divisors (360775600).

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

220541360 is a wasteful number, since it uses less digits than its factorization.

220541360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11206 (or 11200 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 220541360 is about 14850.6350032583. The cubic root of 220541360 is about 604.1758329062.

Adding to 220541360 its reverse (63145022), we get a palindrome (283686382).

The spelling of 220541360 in words is "two hundred twenty million, five hundred forty-one thousand, three hundred sixty".