26826912 has 108 divisors (see below), whose sum is σ = 88791066. Its totient is φ = 7660800.

The previous prime is 26826911. The next prime is 26826949. The reversal of 26826912 is 21962862.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 26255376 + 571536 = 5124^2 + 756^2 .

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 not an unprimeable number, because it can be changed into a prime (26826911) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13162 + ... + 15062.

Almost surely, 2^26826912 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 26826912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44395533).

26826912 is an abundant number, since it is smaller than the sum of its proper divisors (61964154).

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

26826912 is a wasteful number, since it uses less digits than its factorization.

26826912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1913 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 26826912 is about 5179.4702431812. The cubic root of 26826912 is about 299.3575585453.

The spelling of 26826912 in words is "twenty-six million, eight hundred twenty-six thousand, nine hundred twelve".