26560000 has 100 divisors (see below), whose sum is σ = 67112892. Its totient is φ = 10496000.

The previous prime is 26559983. The next prime is 26560007. The reversal of 26560000 is 6562.

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 26560000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26560007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319959 + ... + 320041.

Almost surely, 2^26560000 is an apocalyptic number.

26560000 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 26560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33556446).

26560000 is an abundant number, since it is smaller than the sum of its proper divisors (40552892).

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

26560000 is an frugal number, since it uses more digits than its factorization.

26560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 26560000 is about 5153.6394906901. The cubic root of 26560000 is about 298.3614370357.

Adding to 26560000 its reverse (6562), we get a palindrome (26566562).

The spelling of 26560000 in words is "twenty-six million, five hundred sixty thousand".