26768280 has 128 divisors (see below), whose sum is σ = 100154880. Its totient is φ = 5560320.

The previous prime is 26768267. The next prime is 26768299. The reversal of 26768280 is 8286762.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7792 + ... + 10688.

It is an arithmetic number, because the mean of its divisors is an integer number (782460).

Almost surely, 2^26768280 is an apocalyptic number.

26768280 is a gapful number since it is divisible by the number (20) 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 26768280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50077440).

26768280 is an abundant number, since it is smaller than the sum of its proper divisors (73386600).

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

26768280 is a wasteful number, since it uses less digits than its factorization.

26768280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 26768280 is about 5173.8071088899. The cubic root of 26768280 is about 299.1393108532.

It can be divided in two parts, 267682 and 80, that added together give a palindrome (267762).

The spelling of 26768280 in words is "twenty-six million, seven hundred sixty-eight thousand, two hundred eighty".