26285760 has 84 divisors (see below), whose sum is σ = 90421968. Its totient is φ = 7008768.

The previous prime is 26285741. The next prime is 26285761. The reversal of 26285760 is 6758262.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (26285761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1684 + ... + 7443.

It is an arithmetic number, because the mean of its divisors is an integer number (1076452).

Almost surely, 2^26285760 is an apocalyptic number.

26285760 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 26285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45210984).

26285760 is an abundant number, since it is smaller than the sum of its proper divisors (64136208).

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

26285760 is a wasteful number, since it uses less digits than its factorization.

26285760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9150 (or 9137 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 26285760 is about 5126.9640139170. The cubic root of 26285760 is about 297.3309917346.

The spelling of 26285760 in words is "twenty-six million, two hundred eighty-five thousand, seven hundred sixty".