26768000 has 128 divisors (see below), whose sum is σ = 76377600. Its totient is φ = 9139200.

The previous prime is 26767991. The next prime is 26768009. The reversal of 26768000 is 86762.

It is an interprime number because it is at equal distance from previous prime (26767991) and next prime (26768009).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (26768009) 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, 111881 + ... + 112119.

It is an arithmetic number, because the mean of its divisors is an integer number (596700).

Almost surely, 2^26768000 is an apocalyptic number.

26768000 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 26768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38188800).

26768000 is an abundant number, since it is smaller than the sum of its proper divisors (49609600).

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

26768000 is an equidigital number, since it uses as much as digits as its factorization.

26768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 26768000 is about 5173.7800494416. The cubic root of 26768000 is about 299.1382678364.

The spelling of 26768000 in words is "twenty-six million, seven hundred sixty-eight thousand".