26281944 has 96 divisors (see below), whose sum is σ = 78558480. Its totient is φ = 7886592.

The previous prime is 26281933. The next prime is 26281979. The reversal of 26281944 is 44918262.

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 = 26281899 and 26281908.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 39922 + ... + 40574.

Almost surely, 2^26281944 is an apocalyptic number.

26281944 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 26281944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39279240).

26281944 is an abundant number, since it is smaller than the sum of its proper divisors (52276536).

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

26281944 is a wasteful number, since it uses less digits than its factorization.

26281944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 714 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 26281944 is about 5126.5918503427. The cubic root of 26281944 is about 297.3166028288.

It can be divided in two parts, 26281 and 944, that added together give a square (27225 = 165²).

The spelling of 26281944 in words is "twenty-six million, two hundred eighty-one thousand, nine hundred forty-four".