26580560 has 40 divisors (see below), whose sum is σ = 62975880. Its totient is φ = 10429952.

The previous prime is 26580527. The next prime is 26580569. The reversal of 26580560 is 6508562.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2999824 + 23580736 = 1732^2 + 4856^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26580569) 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, 1106 + ... + 7374.

It is an arithmetic number, because the mean of its divisors is an integer number (1574397).

Almost surely, 2^26580560 is an apocalyptic number.

26580560 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 26580560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31487940).

26580560 is an abundant number, since it is smaller than the sum of its proper divisors (36395320).

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

26580560 is a wasteful number, since it uses less digits than its factorization.

26580560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6335 (or 6329 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 26580560 is about 5155.6338116666. The cubic root of 26580560 is about 298.4384040158.

The spelling of 26580560 in words is "twenty-six million, five hundred eighty thousand, five hundred sixty".