26768 has 20 divisors (see below), whose sum is σ = 59520. Its totient is φ = 11424.

The previous prime is 26759. The next prime is 26777. The reversal of 26768 is 86762.

It is an interprime number because it is at equal distance from previous prime (26759) and next prime (26777).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 26768.

It is an unprimeable number.

26768 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 8 + ... + 231.

It is an arithmetic number, because the mean of its divisors is an integer number (2976).

2²⁶⁷⁶⁸ is an apocalyptic number.

26768 is a gapful number since it is divisible by the number (28) 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 26768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29760).

26768 is an abundant number, since it is smaller than the sum of its proper divisors (32752).

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

26768 is a wasteful number, since it uses less digits than its factorization.

26768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 248 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 26768 is about 163.6092906897. The cubic root of 26768 is about 29.9138267836.

The spelling of 26768 in words is "twenty-six thousand, seven hundred sixty-eight".