26820288 has 224 divisors, whose sum is σ = 92171520. Its totient is φ = 7557120.

The previous prime is 26820259. The next prime is 26820289. The reversal of 26820288 is 88202862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26820289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323095 + ... + 323177.

It is an arithmetic number, because the mean of its divisors is an integer number (411480).

Almost surely, 2^26820288 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 26820288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46085760).

26820288 is an abundant number, since it is smaller than the sum of its proper divisors (65351232).

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

26820288 is a wasteful number, since it uses less digits than its factorization.

26820288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 26820288 is about 5178.8307560684. The cubic root of 26820288 is about 299.3329177704.

The spelling of 26820288 in words is "twenty-six million, eight hundred twenty thousand, two hundred eighty-eight".