26638080 has 144 divisors (see below), whose sum is σ = 97327104. Its totient is φ = 6082560.

The previous prime is 26638067. The next prime is 26638091. The reversal of 26638080 is 8083662.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26385 + ... + 27375.

Almost surely, 2^26638080 is an apocalyptic number.

26638080 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 26638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48663552).

26638080 is an abundant number, since it is smaller than the sum of its proper divisors (70689024).

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

26638080 is an equidigital number, since it uses as much as digits as its factorization.

26638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 26638080 is about 5161.2091606522. The cubic root of 26638080 is about 298.6535212468.

The spelling of 26638080 in words is "twenty-six million, six hundred thirty-eight thousand, eighty".