26400896 has 32 divisors (see below), whose sum is σ = 52876800. Its totient is φ = 13129984.

The previous prime is 26400893. The next prime is 26400923. The reversal of 26400896 is 69800462.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (26400893) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30161 + ... + 31023.

It is an arithmetic number, because the mean of its divisors is an integer number (1652400).

Almost surely, 2^26400896 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 26400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26438400).

26400896 is an abundant number, since it is smaller than the sum of its proper divisors (26475904).

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

26400896 is an equidigital number, since it uses as much as digits as its factorization.

26400896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 26400896 is about 5138.1802226080. The cubic root of 26400896 is about 297.7644791632.

The spelling of 26400896 in words is "twenty-six million, four hundred thousand, eight hundred ninety-six".