26991144 has 80 divisors (see below), whose sum is σ = 78930720. Its totient is φ = 8601120.

The previous prime is 26991127. The next prime is 26991163. The reversal of 26991144 is 44119962.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 26991099 and 26991108.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 13999 + ... + 15809.

It is an arithmetic number, because the mean of its divisors is an integer number (986634).

Almost surely, 2^26991144 is an apocalyptic number.

26991144 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 26991144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39465360).

26991144 is an abundant number, since it is smaller than the sum of its proper divisors (51939576).

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

26991144 is a wasteful number, since it uses less digits than its factorization.

26991144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1839 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 26991144 is about 5195.3001838200. The cubic root of 26991144 is about 299.9671964132.

The spelling of 26991144 in words is "twenty-six million, nine hundred ninety-one thousand, one hundred forty-four".