26406 has 20 divisors (see below), whose sum is σ = 59532. Its totient is φ = 8748.

The previous prime is 26399. The next prime is 26407. The reversal of 26406 is 60462.

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

It is a Curzon number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26407) by changing a digit.

26406 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 9 ways as a sum of consecutive naturals, for example, 81 + ... + 243.

2²⁶⁴⁰⁶ is an apocalyptic number.

It is a pronic number, being equal to 162×163.

It is a practical number, because each smaller number is the sum of distinct divisors of 26406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29766).

26406 is an abundant number, since it is smaller than the sum of its proper divisors (33126).

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

26406 is a wasteful number, since it uses less digits than its factorization.

26406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 26406 is about 162.4992307674. The cubic root of 26406 is about 29.7783666542.

Adding to 26406 its reverse (60462), we get a palindrome (86868).

The spelling of 26406 in words is "twenty-six thousand, four hundred six".