26005760 has 72 divisors (see below), whose sum is σ = 67991616. Its totient is φ = 9451520.

The previous prime is 26005757. The next prime is 26005769. The reversal of 26005760 is 6750062.

It is not an unprimeable number, because it can be changed into a prime (26005769) 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, 13157 + ... + 15003.

It is an arithmetic number, because the mean of its divisors is an integer number (944328).

Almost surely, 2^26005760 is an apocalyptic number.

26005760 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 26005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33995808).

26005760 is an abundant number, since it is smaller than the sum of its proper divisors (41985856).

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

26005760 is a wasteful number, since it uses less digits than its factorization.

26005760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 26005760 is about 5099.5842967834. The cubic root of 26005760 is about 296.2714821195.

The spelling of 26005760 in words is "twenty-six million, five thousand, seven hundred sixty".