26611 has 8 divisors (see below), whose sum is σ = 30240. Its totient is φ = 23232.

The previous prime is 26597. The next prime is 26627. The reversal of 26611 is 11662.

26611 is nontrivially palindromic in base 2.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 26611 - 2⁹ = 26099 is a prime.

It is a super-3 number, since 3×26611³ = 56533365411393, which contains 333 as substring.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (26641) 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 7 ways as a sum of consecutive naturals, for example, 255 + ... + 343.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2²⁶⁶¹¹ is an apocalyptic number.

26611 is a deficient number, since it is larger than the sum of its proper divisors (3629).

26611 is a wasteful number, since it uses less digits than its factorization.

26611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125.

The product of its digits is 72, while the sum is 16.

The square root of 26611 is about 163.1287834810. The cubic root of 26611 is about 29.8552284227.

It can be divided in two parts, 2661 and 1, that added together give a palindrome (2662).

The spelling of 26611 in words is "twenty-six thousand, six hundred eleven".