26648800 has 36 divisors (see below), whose sum is σ = 65058336. Its totient is φ = 10659200.

The previous prime is 26648779. The next prime is 26648801. The reversal of 26648800 is 884662.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26648801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15856 + ... + 17455.

It is an arithmetic number, because the mean of its divisors is an integer number (1807176).

Almost surely, 2^26648800 is an apocalyptic number.

26648800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26648800 is an abundant number, since it is smaller than the sum of its proper divisors (38409536).

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

26648800 is a wasteful number, since it uses less digits than its factorization.

26648800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33331 (or 33318 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 26648800 is about 5162.2475725211. The cubic root of 26648800 is about 298.6935783928.

The spelling of 26648800 in words is "twenty-six million, six hundred forty-eight thousand, eight hundred".