26408 has 8 divisors (see below), whose sum is σ = 49530. Its totient is φ = 13200.

The previous prime is 26407. The next prime is 26417. The reversal of 26408 is 80462.

It can be written as a sum of positive squares in only one way, i.e., 24964 + 1444 = 158^2 + 38^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 26408.

It is not an unprimeable number, because it can be changed into a prime (26407) 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 as a sum of consecutive naturals, namely, 1643 + ... + 1658.

2²⁶⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

26408 is a deficient number, since it is larger than the sum of its proper divisors (23122).

26408 is a wasteful number, since it uses less digits than its factorization.

26408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 26408 is about 162.5053845262. The cubic root of 26408 is about 29.7791184433.

It can be divided in two parts, 26 and 408, that added together give a palindrome (434).

The spelling of 26408 in words is "twenty-six thousand, four hundred eight".