26731968 has 56 divisors (see below), whose sum is σ = 73182480. Its totient is φ = 8601600.

The previous prime is 26731967. The next prime is 26732009. The reversal of 26731968 is 86913762.

It is a happy number.

It is a super-2 number, since 2×26731968² = 1429196226306048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26731963) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3168 + ... + 7968.

It is an arithmetic number, because the mean of its divisors is an integer number (1306830).

Almost surely, 2^26731968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26731968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36591240).

26731968 is an abundant number, since it is smaller than the sum of its proper divisors (46450512).

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

26731968 is a wasteful number, since it uses less digits than its factorization.

26731968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4845 (or 4835 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 26731968 is about 5170.2967032850. The cubic root of 26731968 is about 299.0039857338.

The spelling of 26731968 in words is "twenty-six million, seven hundred thirty-one thousand, nine hundred sixty-eight".