26116160 has 112 divisors (see below), whose sum is σ = 72420480. Its totient is φ = 8785920.

The previous prime is 26116157. The next prime is 26116169. The reversal of 26116160 is 6161162.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (26116169) 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, 199295 + ... + 199425.

Almost surely, 2^26116160 is an apocalyptic number.

26116160 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 26116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36210240).

26116160 is an abundant number, since it is smaller than the sum of its proper divisors (46304320).

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

26116160 is a wasteful number, since it uses less digits than its factorization.

26116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 26116160 is about 5110.3972448333. The cubic root of 26116160 is about 296.6901354717.

The spelling of 26116160 in words is "twenty-six million, one hundred sixteen thousand, one hundred sixty".