220611609 has 9 divisors (see below), whose sum is σ = 318725589. Its totient is φ = 147044700.

The previous prime is 220611583. The next prime is 220611619. The reversal of 220611609 is 906116022.

The square root of 220611609 is 14853.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 220611609 - 2⁵ = 220611577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220611619) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 42084 + ... + 47034.

Almost surely, 2^220611609 is an apocalyptic number.

220611609 is the 14853-rd square number.

220611609 is the 7427-th centered octagonal number.

It is an amenable number.

220611609 is a deficient number, since it is larger than the sum of its proper divisors (98113980).

220611609 is an frugal number, since it uses more digits than its factorization.

220611609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9908 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The cubic root of 220611609 is about 604.2399754363.

Multiplying 220611609 by its product of nonzero digits (1296), we get a square (285912645264 = 534708²).

The spelling of 220611609 in words is "two hundred twenty million, six hundred eleven thousand, six hundred nine".