26320 has 40 divisors (see below), whose sum is σ = 71424. Its totient is φ = 8832.

The previous prime is 26317. The next prime is 26321. The reversal of 26320 is 2362.

26320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

26320 is strictly pandigital in base 6.

It is a nialpdrome in base 8 and base 14.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 26320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 537 + ... + 583.

2²⁶³²⁰ is an apocalyptic number.

26320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26320 is the 94-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35712).

26320 is an abundant number, since it is smaller than the sum of its proper divisors (45104).

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

26320 is a wasteful number, since it uses less digits than its factorization.

26320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 26320 is about 162.2343983254. The cubic root of 26320 is about 29.7460037473.

Adding to 26320 its reverse (2362), we get a palindrome (28682).

The spelling of 26320 in words is "twenty-six thousand, three hundred twenty".