26616 has 16 divisors (see below), whose sum is σ = 66600. Its totient is φ = 8864.

The previous prime is 26597. The next prime is 26627. The reversal of 26616 is 61662.

It is a super-2 number, since 2×26616² = 1416822912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 26592 and 26601.

It is a congruent number.

It is an unprimeable number.

26616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 531 + ... + 578.

2²⁶⁶¹⁶ is an apocalyptic number.

It is an amenable number.

26616 is an abundant number, since it is smaller than the sum of its proper divisors (39984).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33300).

26616 is a wasteful number, since it uses less digits than its factorization.

26616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1114 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 26616 is about 163.1441080763. The cubic root of 26616 is about 29.8570981607.

It can be divided in two parts, 266 and 16, that added together give a palindrome (282).

The spelling of 26616 in words is "twenty-six thousand, six hundred sixteen".