26116128 has 96 divisors (see below), whose sum is σ = 77051520. Its totient is φ = 8605440.

The previous prime is 26116081. The next prime is 26116133. The reversal of 26116128 is 82161162.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 144198 + ... + 144378.

It is an arithmetic number, because the mean of its divisors is an integer number (802620).

Almost surely, 2^26116128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26116128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38525760).

26116128 is an abundant number, since it is smaller than the sum of its proper divisors (50935392).

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

26116128 is a wasteful number, since it uses less digits than its factorization.

26116128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 353 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 26116128 is about 5110.3941139603. The cubic root of 26116128 is about 296.6900142940.

It can be divided in two parts, 26116 and 128, that added together give a square (26244 = 162²).

The spelling of 26116128 in words is "twenty-six million, one hundred sixteen thousand, one hundred twenty-eight".