26852540 has 96 divisors (see below), whose sum is σ = 68160960. Its totient is φ = 8755200.

The previous prime is 26852533. The next prime is 26852561. The reversal of 26852540 is 4525862.

It is a junction number, because it is equal to n+sod(n) for n = 26852497 and 26852506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117146 + ... + 117374.

It is an arithmetic number, because the mean of its divisors is an integer number (710010).

Almost surely, 2^26852540 is an apocalyptic number.

26852540 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 26852540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34080480).

26852540 is an abundant number, since it is smaller than the sum of its proper divisors (41308420).

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

26852540 is a wasteful number, since it uses less digits than its factorization.

26852540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 26852540 is about 5181.9436507936. The cubic root of 26852540 is about 299.4528545648.

It can be divided in two parts, 2685 and 2540, that added together give a palindrome (5225).

The spelling of 26852540 in words is "twenty-six million, eight hundred fifty-two thousand, five hundred forty".