26085120 has 72 divisors (see below), whose sum is σ = 83321616. Its totient is φ = 6955008.

The previous prime is 26085109. The next prime is 26085121. The reversal of 26085120 is 2158062.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26085121) 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, 444 + ... + 7236.

Almost surely, 2^26085120 is an apocalyptic number.

26085120 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 26085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41660808).

26085120 is an abundant number, since it is smaller than the sum of its proper divisors (57236496).

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

26085120 is an equidigital number, since it uses as much as digits as its factorization.

26085120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6817 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 26085120 is about 5107.3593960089. The cubic root of 26085120 is about 296.5725465570.

26085120 divided by its product of nonzero digits (960) gives a palindrome (27172).

The spelling of 26085120 in words is "twenty-six million, eighty-five thousand, one hundred twenty".