26538516 has 84 divisors (see below), whose sum is σ = 73449600. Its totient is φ = 8363088.

The previous prime is 26538469. The next prime is 26538517. The reversal of 26538516 is 61583562.

26538516 is a `hidden beast` number, since 265 + 385 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26538517) 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 27 ways as a sum of consecutive naturals, for example, 55165 + ... + 55643.

It is an arithmetic number, because the mean of its divisors is an integer number (874400).

Almost surely, 2^26538516 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 26538516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36724800).

26538516 is an abundant number, since it is smaller than the sum of its proper divisors (46911084).

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

26538516 is a wasteful number, since it uses less digits than its factorization.

26538516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 503 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 26538516 is about 5151.5547167821. The cubic root of 26538516 is about 298.2809685843.

It can be divided in two parts, 265 and 38516, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 26538516 in words is "twenty-six million, five hundred thirty-eight thousand, five hundred sixteen".