26565440 has 56 divisors (see below), whose sum is σ = 69018912. Its totient is φ = 9658880.

The previous prime is 26565397. The next prime is 26565449. The reversal of 26565440 is 4456562.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 26565397 and 26565406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26565449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254 + ... + 7293.

Almost surely, 2^26565440 is an apocalyptic number.

26565440 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 26565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34509456).

26565440 is an abundant number, since it is smaller than the sum of its proper divisors (42453472).

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

26565440 is a wasteful number, since it uses less digits than its factorization.

26565440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7575 (or 7565 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 26565440 is about 5154.1672460253. The cubic root of 26565440 is about 298.3818057030.

The spelling of 26565440 in words is "twenty-six million, five hundred sixty-five thousand, four hundred forty".