26871168 has 128 divisors (see below), whose sum is σ = 78336000. Its totient is φ = 8128512.

The previous prime is 26871161. The next prime is 26871179. The reversal of 26871168 is 86117862.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (32256) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26871161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211521 + ... + 211647.

It is an arithmetic number, because the mean of its divisors is an integer number (612000).

Almost surely, 2^26871168 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 26871168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39168000).

26871168 is an abundant number, since it is smaller than the sum of its proper divisors (51464832).

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

26871168 is a wasteful number, since it uses less digits than its factorization.

26871168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 26871168 is about 5183.7407342575. The cubic root of 26871168 is about 299.5220835015.

The spelling of 26871168 in words is "twenty-six million, eight hundred seventy-one thousand, one hundred sixty-eight".