220561280 has 64 divisors (see below), whose sum is σ = 544337280. Its totient is φ = 85370880.

The previous prime is 220561277. The next prime is 220561303. The reversal of 220561280 is 82165022.

220561280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14282 + ... + 25398.

It is an arithmetic number, because the mean of its divisors is an integer number (8505270).

Almost surely, 2^220561280 is an apocalyptic number.

220561280 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 220561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272168640).

220561280 is an abundant number, since it is smaller than the sum of its proper divisors (323776000).

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

220561280 is a wasteful number, since it uses less digits than its factorization.

220561280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11167 (or 11155 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 220561280 is about 14851.3056665062. The cubic root of 220561280 is about 604.1940227222.

The spelling of 220561280 in words is "two hundred twenty million, five hundred sixty-one thousand, two hundred eighty".