26440 has 16 divisors (see below), whose sum is σ = 59580. Its totient is φ = 10560.

The previous prime is 26437. The next prime is 26449. The reversal of 26440 is 4462.

26440 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 26244 + 196 = 162^2 + 14^2 .

It is not an unprimeable number, because it can be changed into a prime (26449) 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 3 ways as a sum of consecutive naturals, for example, 291 + ... + 370.

2²⁶⁴⁴⁰ is an apocalyptic number.

26440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26440 is an abundant number, since it is smaller than the sum of its proper divisors (33140).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29790).

26440 is a wasteful number, since it uses less digits than its factorization.

26440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 26440 is about 162.6038129934. The cubic root of 26440 is about 29.7911419102.

It can be divided in two parts, 2 and 6440, that multiplied together give a triangular number (12880 = T₁₆₀).

The spelling of 26440 in words is "twenty-six thousand, four hundred forty".