26128116 has 192 divisors, whose sum is σ = 87091200. Its totient is φ = 6594048.

The previous prime is 26128079. The next prime is 26128117. The reversal of 26128116 is 61182162.

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

It is a self number, because there is not a number n which added to its sum of digits gives 26128116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26128117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244135 + ... + 244241.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 2^26128116 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 26128116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

26128116 is an abundant number, since it is smaller than the sum of its proper divisors (60963084).

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

26128116 is a wasteful number, since it uses less digits than its factorization.

26128116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

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

The square root of 26128116 is about 5111.5668830604. The cubic root of 26128116 is about 296.7354035623.

It can be divided in two parts, 26128 and 116, that added together give a square (26244 = 162²).

The spelling of 26128116 in words is "twenty-six million, one hundred twenty-eight thousand, one hundred sixteen".