26481280 has 128 divisors (see below), whose sum is σ = 75790080. Its totient is φ = 8650752.

The previous prime is 26481277. The next prime is 26481289. The reversal of 26481280 is 8218462.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26481289) by changing a digit.

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, 102912 + ... + 103168.

It is an arithmetic number, because the mean of its divisors is an integer number (592110).

Almost surely, 2^26481280 is an apocalyptic number.

26481280 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 26481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37895040).

26481280 is an abundant number, since it is smaller than the sum of its proper divisors (49308800).

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

26481280 is a wasteful number, since it uses less digits than its factorization.

26481280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 26481280 is about 5145.9965021364. The cubic root of 26481280 is about 298.0663786190.

The spelling of 26481280 in words is "twenty-six million, four hundred eighty-one thousand, two hundred eighty".