26040 has 64 divisors (see below), whose sum is σ = 92160. Its totient is φ = 5760.

The previous prime is 26029. The next prime is 26041. The reversal of 26040 is 4062.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 26040.

It is not an unprimeable number, because it can be changed into a prime (26041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 825 + ... + 855.

It is an arithmetic number, because the mean of its divisors is an integer number (1440).

2²⁶⁰⁴⁰ is an apocalyptic number.

26040 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 26040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46080).

26040 is an abundant number, since it is smaller than the sum of its proper divisors (66120).

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

26040 is a wasteful number, since it uses less digits than its factorization.

26040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 26040 is about 161.3691420316. The cubic root of 26040 is about 29.6401451873.

It can be divided in two parts, 260 and 40, that added together give a triangular number (300 = T₂₄).

The spelling of 26040 in words is "twenty-six thousand, forty".