26048800 has 36 divisors (see below), whose sum is σ = 63593586. Its totient is φ = 10419200.

The previous prime is 26048797. The next prime is 26048807. The reversal of 26048800 is 884062.

It can be written as a sum of positive squares in 3 ways, for example, as 22316176 + 3732624 = 4724^2 + 1932^2 .

It is not an unprimeable number, because it can be changed into a prime (26048807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15481 + ... + 17080.

Almost surely, 2^26048800 is an apocalyptic number.

26048800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26048800 is an abundant number, since it is smaller than the sum of its proper divisors (37544786).

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

26048800 is a wasteful number, since it uses less digits than its factorization.

26048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32581 (or 32568 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 26048800 is about 5103.8025040160. The cubic root of 26048800 is about 296.4348369094.

The spelling of 26048800 in words is "twenty-six million, forty-eight thousand, eight hundred".