26109864 has 168 divisors, whose sum is σ = 82860330. Its totient is φ = 7698240.

The previous prime is 26109847. The next prime is 26109869. The reversal of 26109864 is 46890162.

It can be written as a sum of positive squares in only one way, i.e., 17288964 + 8820900 = 4158^2 + 2970^2 .

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

It is not an unprimeable number, because it can be changed into a prime (26109869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 705654 + ... + 705690.

It is a vampire number, since it can be written as 2664 ⋅ 9801 (with its own digits).

Almost surely, 2^26109864 is an apocalyptic number.

26109864 is a gapful number since it is divisible by the number (24) 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 26109864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41430165).

26109864 is an abundant number, since it is smaller than the sum of its proper divisors (56750466).

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

26109864 is a wasteful number, since it uses less digits than its factorization.

26109864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 26109864 is about 5109.7812086233. The cubic root of 26109864 is about 296.6662918538. Note that the first 3 decimals are identical.

It can be divided in two parts, 261098 and 64, that added together give a palindrome (261162).

The spelling of 26109864 in words is "twenty-six million, one hundred nine thousand, eight hundred sixty-four".