26191280 has 80 divisors (see below), whose sum is σ = 64281600. Its totient is φ = 9911040.

The previous prime is 26191279. The next prime is 26191289. The reversal of 26191280 is 8219162.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (26191289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146231 + ... + 146409.

It is an arithmetic number, because the mean of its divisors is an integer number (803520).

Almost surely, 2^26191280 is an apocalyptic number.

26191280 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 26191280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32140800).

26191280 is an abundant number, since it is smaller than the sum of its proper divisors (38090320).

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

26191280 is a wasteful number, since it uses less digits than its factorization.

26191280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 26191280 is about 5117.7416894564. The cubic root of 26191280 is about 296.9743276868.

The spelling of 26191280 in words is "twenty-six million, one hundred ninety-one thousand, two hundred eighty".