26256000 has 128 divisors (see below), whose sum is σ = 87197760. Its totient is φ = 6988800.

The previous prime is 26255993. The next prime is 26256017. The reversal of 26256000 is 65262.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 47727 + ... + 48273.

Almost surely, 2^26256000 is an apocalyptic number.

26256000 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 26256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43598880).

26256000 is an abundant number, since it is smaller than the sum of its proper divisors (60941760).

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

26256000 is an equidigital number, since it uses as much as digits as its factorization.

26256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 26256000 is about 5124.0608895680. The cubic root of 26256000 is about 297.2187394254.

The spelling of 26256000 in words is "twenty-six million, two hundred fifty-six thousand".