26538768 has 120 divisors (see below), whose sum is σ = 81041688. Its totient is φ = 8073216.

The previous prime is 26538761. The next prime is 26538773. The reversal of 26538768 is 86783562.

26538768 is a `hidden beast` number, since 265 + 387 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19820304 + 6718464 = 4452^2 + 2592^2 .

It is not an unprimeable number, because it can be changed into a prime (26538761) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 90430 + ... + 90722.

Almost surely, 2^26538768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26538768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40520844).

26538768 is an abundant number, since it is smaller than the sum of its proper divisors (54502920).

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

26538768 is a wasteful number, since it uses less digits than its factorization.

26538768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 352 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 26538768 is about 5151.5791753597. The cubic root of 26538768 is about 298.2819127034.

The spelling of 26538768 in words is "twenty-six million, five hundred thirty-eight thousand, seven hundred sixty-eight".