26304768 has 162 divisors, whose sum is σ = 88604334. Its totient is φ = 7483392.

The previous prime is 26304767. The next prime is 26304779. The reversal of 26304768 is 86740362.

It can be written as a sum of positive squares in only one way, i.e., 19079424 + 7225344 = 4368^2 + 2688^2 .

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

It is not an unprimeable number, because it can be changed into a prime (26304767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112780 + ... + 113012.

Almost surely, 2^26304768 is an apocalyptic number.

26304768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26304768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44302167).

26304768 is an abundant number, since it is smaller than the sum of its proper divisors (62299566).

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

26304768 is a wasteful number, since it uses less digits than its factorization.

26304768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 26304768 is about 5128.8174075512. The cubic root of 26304768 is about 297.4026440379.

It can be divided in two parts, 26304 and 768, that added together give a palindrome (27072).

The spelling of 26304768 in words is "twenty-six million, three hundred four thousand, seven hundred sixty-eight".