26118144 has 144 divisors (see below), whose sum is σ = 81981900. Its totient is φ = 7962624.

The previous prime is 26118143. The next prime is 26118149. The reversal of 26118144 is 44181162.

It is a happy number.

26118144 is a `hidden beast` number, since 2 + 611 + 8 + 1 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25887744 + 230400 = 5088^2 + 480^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (26118143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239562 + ... + 239670.

Almost surely, 2^26118144 is an apocalyptic number.

26118144 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 26118144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40990950).

26118144 is an abundant number, since it is smaller than the sum of its proper divisors (55863756).

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

26118144 is a wasteful number, since it uses less digits than its factorization.

26118144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 26118144 is about 5110.5913552152. The cubic root of 26118144 is about 296.6976482955.

It can be divided in two parts, 26118 and 144, that added together give a palindrome (26262).

The spelling of 26118144 in words is "twenty-six million, one hundred eighteen thousand, one hundred forty-four".