220082560 has 64 divisors (see below), whose sum is σ = 528131520. Its totient is φ = 87699456.

The previous prime is 220082539. The next prime is 220082579. The reversal of 220082560 is 65280022.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234412 + ... + 235348.

It is an arithmetic number, because the mean of its divisors is an integer number (8252055).

Almost surely, 2^220082560 is an apocalyptic number.

220082560 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 220082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264065760).

220082560 is an abundant number, since it is smaller than the sum of its proper divisors (308048960).

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

220082560 is an equidigital number, since it uses as much as digits as its factorization.

220082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 220082560 is about 14835.1798101675. The cubic root of 220082560 is about 603.7565792498.

The spelling of 220082560 in words is "two hundred twenty million, eighty-two thousand, five hundred sixty".