26289168 has 80 divisors (see below), whose sum is σ = 71233536. Its totient is φ = 8346240.

The previous prime is 26289149. The next prime is 26289173. The reversal of 26289168 is 86198262.

It is a super-2 number, since 2×26289168² = 1382240708264448, which contains 22 as substring.

It is a congruent number.

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, 96873 + ... + 97143.

Almost surely, 2^26289168 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 26289168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35616768).

26289168 is an abundant number, since it is smaller than the sum of its proper divisors (44944368).

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

26289168 is a wasteful number, since it uses less digits than its factorization.

26289168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 366 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 26289168 is about 5127.2963635819. The cubic root of 26289168 is about 297.3438410268.

The spelling of 26289168 in words is "twenty-six million, two hundred eighty-nine thousand, one hundred sixty-eight".