26268440 has 64 divisors (see below), whose sum is σ = 65007360. Its totient is φ = 9473920.

The previous prime is 26268433. The next prime is 26268449. The reversal of 26268440 is 4486262.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 26268397 and 26268406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26268449) 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, 99749 + ... + 100011.

It is an arithmetic number, because the mean of its divisors is an integer number (1015740).

Almost surely, 2^26268440 is an apocalyptic number.

26268440 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 26268440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32503680).

26268440 is an abundant number, since it is smaller than the sum of its proper divisors (38738920).

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

26268440 is a wasteful number, since it uses less digits than its factorization.

26268440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 26268440 is about 5125.2746267883. The cubic root of 26268440 is about 297.2656724100.

The spelling of 26268440 in words is "twenty-six million, two hundred sixty-eight thousand, four hundred forty".