26144000 has 144 divisors (see below), whose sum is σ = 70150080. Its totient is φ = 9676800.

The previous prime is 26143969. The next prime is 26144009. The reversal of 26144000 is 44162.

It is a self number, because there is not a number n which added to its sum of digits gives 26144000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26144009) 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 15 ways as a sum of consecutive naturals, for example, 607979 + ... + 608021.

Almost surely, 2^26144000 is an apocalyptic number.

26144000 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 26144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35075040).

26144000 is an abundant number, since it is smaller than the sum of its proper divisors (44006080).

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

26144000 is an equidigital number, since it uses as much as digits as its factorization.

26144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 26144000 is about 5113.1203780079. The cubic root of 26144000 is about 296.7955225844.

Adding to 26144000 its reverse (44162), we get a palindrome (26188162).

The spelling of 26144000 in words is "twenty-six million, one hundred forty-four thousand".