26688288 has 96 divisors (see below), whose sum is σ = 77414400. Its totient is φ = 7983360.

The previous prime is 26688281. The next prime is 26688301. The reversal of 26688288 is 88288662.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 (26688281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134013 + ... + 134211.

It is an arithmetic number, because the mean of its divisors is an integer number (806400).

Almost surely, 2^26688288 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 26688288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38707200).

26688288 is an abundant number, since it is smaller than the sum of its proper divisors (50726112).

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

26688288 is a wasteful number, since it uses less digits than its factorization.

26688288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The square root of 26688288 is about 5166.0708473655. The cubic root of 26688288 is about 298.8410395792.

The spelling of 26688288 in words is "twenty-six million, six hundred eighty-eight thousand, two hundred eighty-eight".