26585440 has 72 divisors (see below), whose sum is σ = 73084032. Its totient is φ = 9112320.

The previous prime is 26585413. The next prime is 26585441. The reversal of 26585440 is 4458562.

It is a junction number, because it is equal to n+sod(n) for n = 26585396 and 26585405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26585441) 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 11 ways as a sum of consecutive naturals, for example, 6145 + ... + 9535.

It is an arithmetic number, because the mean of its divisors is an integer number (1015056).

Almost surely, 2^26585440 is an apocalyptic number.

26585440 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 26585440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36542016).

26585440 is an abundant number, since it is smaller than the sum of its proper divisors (46498592).

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

26585440 is a wasteful number, since it uses less digits than its factorization.

26585440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 26585440 is about 5156.1070586248. The cubic root of 26585440 is about 298.4566666144.

The spelling of 26585440 in words is "twenty-six million, five hundred eighty-five thousand, four hundred forty".