26760 has 32 divisors (see below), whose sum is σ = 80640. Its totient is φ = 7104.

The previous prime is 26759. The next prime is 26777. The reversal of 26760 is 6762.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 16.

It is a nialpdrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 26760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9 + ... + 231.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2²⁶⁷⁶⁰ is an apocalyptic number.

26760 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 26760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320).

26760 is an abundant number, since it is smaller than the sum of its proper divisors (53880).

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

26760 is a wasteful number, since it uses less digits than its factorization.

26760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 26760 is about 163.5848403734. The cubic root of 26760 is about 29.9108464283.

The spelling of 26760 in words is "twenty-six thousand, seven hundred sixty".