26240 has 32 divisors (see below), whose sum is σ = 64260. Its totient is φ = 10240.

The previous prime is 26237. The next prime is 26249. The reversal of 26240 is 4262.

It can be written as a sum of positive squares in 2 ways, for example, as 23104 + 3136 = 152^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 2⁵ + 6⁵ + 2¹¹ + 4⁷ + 0 .

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 620 + ... + 660.

2²⁶²⁴⁰ is an apocalyptic number.

26240 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 26240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32130).

26240 is an abundant number, since it is smaller than the sum of its proper divisors (38020).

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

26240 is an equidigital number, since it uses as much as digits as its factorization.

26240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 26240 is about 161.9876538505. The cubic root of 26240 is about 29.7158353658.

The spelling of 26240 in words is "twenty-six thousand, two hundred forty".