26568144 has 60 divisors (see below), whose sum is σ = 78734916. Its totient is φ = 8334336.

The previous prime is 26568119. The next prime is 26568149. The reversal of 26568144 is 44186562.

It can be written as a sum of positive squares in 2 ways, for example, as 17640000 + 8928144 = 4200^2 + 2988^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 26568099 and 26568108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26568149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2979 + ... + 7874.

Almost surely, 2^26568144 is an apocalyptic number.

26568144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

26568144 is an abundant number, since it is smaller than the sum of its proper divisors (52166772).

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

26568144 is a wasteful number, since it uses less digits than its factorization.

26568144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10884 (or 10875 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 26568144 is about 5154.4295513665. The cubic root of 26568144 is about 298.3919290943.

The spelling of 26568144 in words is "twenty-six million, five hundred sixty-eight thousand, one hundred forty-four".