26368 has 18 divisors (see below), whose sum is σ = 53144. Its totient is φ = 13056.

The previous prime is 26357. The next prime is 26371. The reversal of 26368 is 86362.

26368 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

26368 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 as a sum of consecutive naturals, namely, 205 + ... + 307.

2²⁶³⁶⁸ is an apocalyptic number.

26368 is the 103-rd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26572).

26368 is an abundant number, since it is smaller than the sum of its proper divisors (26776).

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

26368 is an equidigital number, since it uses as much as digits as its factorization.

26368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 105 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 26368 is about 162.3822650415. The cubic root of 26368 is about 29.7640754429.

The spelling of 26368 in words is "twenty-six thousand, three hundred sixty-eight".