26738016 has 96 divisors (see below), whose sum is σ = 75116160. Its totient is φ = 8303616.

The previous prime is 26738011. The next prime is 26738021. The reversal of 26738016 is 61083762.

It is an interprime number because it is at equal distance from previous prime (26738011) and next prime (26738021).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26738011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195100 + ... + 195236.

It is an arithmetic number, because the mean of its divisors is an integer number (782460).

Almost surely, 2^26738016 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 26738016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37558080).

26738016 is an abundant number, since it is smaller than the sum of its proper divisors (48378144).

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

26738016 is a wasteful number, since it uses less digits than its factorization.

26738016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 26738016 is about 5170.8815496006. The cubic root of 26738016 is about 299.0265335155.

It can be divided in two parts, 267 and 38016, that added together give a palindrome (38283).

The spelling of 26738016 in words is "twenty-six million, seven hundred thirty-eight thousand, sixteen".