26381280 has 192 divisors, whose sum is σ = 91119168. Its totient is φ = 6389760.

The previous prime is 26381273. The next prime is 26381309. The reversal of 26381280 is 8218362.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 432450 + ... + 432510.

It is an arithmetic number, because the mean of its divisors is an integer number (474579).

Almost surely, 2^26381280 is an apocalyptic number.

26381280 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 26381280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45559584).

26381280 is an abundant number, since it is smaller than the sum of its proper divisors (64737888).

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

26381280 is a wasteful number, since it uses less digits than its factorization.

26381280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 26381280 is about 5136.2710208867. The cubic root of 26381280 is about 297.6907140501.

The spelling of 26381280 in words is "twenty-six million, three hundred eighty-one thousand, two hundred eighty".