26820 has 36 divisors (see below), whose sum is σ = 81900. Its totient is φ = 7104.

The previous prime is 26813. The next prime is 26821. The reversal of 26820 is 2862.

26820 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 6084 + 20736 = 78^2 + 144^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 26793 and 26802.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 26820.

It is not an unprimeable number, because it can be changed into a prime (26821) by changing a digit.

26820 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 11 ways as a sum of consecutive naturals, for example, 106 + ... + 254.

It is an arithmetic number, because the mean of its divisors is an integer number (2275).

2²⁶⁸²⁰ is an apocalyptic number.

26820 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 26820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40950).

26820 is an abundant number, since it is smaller than the sum of its proper divisors (55080).

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

26820 is a wasteful number, since it uses less digits than its factorization.

26820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 26820 is about 163.7681287675. The cubic root of 26820 is about 29.9331846340.

The spelling of 26820 in words is "twenty-six thousand, eight hundred twenty".