26642688 has 72 divisors (see below), whose sum is σ = 71768928. Its totient is φ = 8773632.

The previous prime is 26642683. The next prime is 26642719. The reversal of 26642688 is 88624662.

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

It is not an unprimeable number, because it can be changed into a prime (26642683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86631 + ... + 86937.

Almost surely, 2^26642688 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 26642688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35884464).

26642688 is an abundant number, since it is smaller than the sum of its proper divisors (45126240).

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

26642688 is a wasteful number, since it uses less digits than its factorization.

With its successor (26642689) it forms an eRAP, since the sums of their prime factors are consecutive (439 and 440).

26642688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 425 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 26642688 is about 5161.6555483682. The cubic root of 26642688 is about 298.6707411576.

The spelling of 26642688 in words is "twenty-six million, six hundred forty-two thousand, six hundred eighty-eight".