26182720 has 56 divisors (see below), whose sum is σ = 66028824. Its totient is φ = 9854976.

The previous prime is 26182711. The next prime is 26182721. The reversal of 26182720 is 2728162.

It can be written as a sum of positive squares in 4 ways, for example, as 8340544 + 17842176 = 2888^2 + 4224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26182721) 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, 3034 + ... + 7846.

Almost surely, 2^26182720 is an apocalyptic number.

26182720 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 26182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33014412).

26182720 is an abundant number, since it is smaller than the sum of its proper divisors (39846104).

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

26182720 is a wasteful number, since it uses less digits than its factorization.

26182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4847 (or 4837 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 26182720 is about 5116.9053147386. The cubic root of 26182720 is about 296.9419711514.

The spelling of 26182720 in words is "twenty-six million, one hundred eighty-two thousand, seven hundred twenty".