26131968 has 120 divisors (see below), whose sum is σ = 77559768. Its totient is φ = 8466432.

The previous prime is 26131949. The next prime is 26131981. The reversal of 26131968 is 86913162.

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 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 11 ways as a sum of consecutive naturals, for example, 244171 + ... + 244277.

Almost surely, 2^26131968 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 26131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38779884).

26131968 is an abundant number, since it is smaller than the sum of its proper divisors (51427800).

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

26131968 is a wasteful number, since it uses less digits than its factorization.

26131968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 165 counting only the distinct ones).

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

The square root of 26131968 is about 5111.9436616614. The cubic root of 26131968 is about 296.7499851546.

The spelling of 26131968 in words is "twenty-six million, one hundred thirty-one thousand, nine hundred sixty-eight".