220884561 has 48 divisors (see below), whose sum is σ = 344120400. Its totient is φ = 136249344.

The previous prime is 220884539. The next prime is 220884569. The reversal of 220884561 is 165488022.

220884561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 34152336 + 186732225 = 5844^2 + 13665^2 .

It is not a de Polignac number, because 220884561 - 2⁵ = 220884529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220884569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 859345 + ... + 859601.

It is an arithmetic number, because the mean of its divisors is an integer number (7169175).

Almost surely, 2^220884561 is an apocalyptic number.

It is an amenable number.

220884561 is a deficient number, since it is larger than the sum of its proper divisors (123235839).

220884561 is a wasteful number, since it uses less digits than its factorization.

220884561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 220884561 is about 14862.1856064308. The cubic root of 220884561 is about 604.4890716314.

It can be divided in two parts, 220884 and 561, that added together give a triangular number (221445 = T₆₆₅).

The spelling of 220884561 in words is "two hundred twenty million, eight hundred eighty-four thousand, five hundred sixty-one".