26427168 has 96 divisors (see below), whose sum is σ = 78321600. Its totient is φ = 8667648.

The previous prime is 26427151. The next prime is 26427179. The reversal of 26427168 is 86172462.

26427168 is a `hidden beast` number, since 2 + 642 + 7 + 1 + 6 + 8 = 666.

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62863 + ... + 63281.

It is an arithmetic number, because the mean of its divisors is an integer number (815850).

Almost surely, 2^26427168 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 26427168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39160800).

26427168 is an abundant number, since it is smaller than the sum of its proper divisors (51894432).

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

26427168 is a wasteful number, since it uses less digits than its factorization.

26427168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 497 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 26427168 is about 5140.7361340571. The cubic root of 26427168 is about 297.8632166573.

The spelling of 26427168 in words is "twenty-six million, four hundred twenty-seven thousand, one hundred sixty-eight".