26561280 has 72 divisors (see below), whose sum is σ = 84842352. Its totient is φ = 7081984.

The previous prime is 26561261. The next prime is 26561281. The reversal of 26561280 is 8216562.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (26561281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382 + ... + 7298.

It is an arithmetic number, because the mean of its divisors is an integer number (1178366).

Almost surely, 2^26561280 is an apocalyptic number.

26561280 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 26561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42421176).

26561280 is an abundant number, since it is smaller than the sum of its proper divisors (58281072).

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

26561280 is an equidigital number, since it uses as much as digits as its factorization.

26561280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6941 (or 6927 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 26561280 is about 5153.7636732780. The cubic root of 26561280 is about 298.3662299135.

The spelling of 26561280 in words is "twenty-six million, five hundred sixty-one thousand, two hundred eighty".