26681328 has 120 divisors (see below), whose sum is σ = 79439360. Its totient is φ = 8346240.

The previous prime is 26681321. The next prime is 26681341. The reversal of 26681328 is 82318662.

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 = 26681292 and 26681301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26681321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191883 + ... + 192021.

Almost surely, 2^26681328 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 26681328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39719680).

26681328 is an abundant number, since it is smaller than the sum of its proper divisors (52758032).

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

26681328 is a wasteful number, since it uses less digits than its factorization.

26681328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 218 counting only the distinct ones).

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

The square root of 26681328 is about 5165.3971773717. The cubic root of 26681328 is about 298.8150592132.

The spelling of 26681328 in words is "twenty-six million, six hundred eighty-one thousand, three hundred twenty-eight".