26566160 has 40 divisors (see below), whose sum is σ = 62626200. Its totient is φ = 10478592.

The previous prime is 26566151. The next prime is 26566181. The reversal of 26566160 is 6166562.

It can be written as a sum of positive squares in 4 ways, for example, as 5626384 + 20939776 = 2372^2 + 4576^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3566 + ... + 8114.

It is an arithmetic number, because the mean of its divisors is an integer number (1565655).

Almost surely, 2^26566160 is an apocalyptic number.

26566160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26566160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31313100).

26566160 is an abundant number, since it is smaller than the sum of its proper divisors (36060040).

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

26566160 is a wasteful number, since it uses less digits than its factorization.

26566160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4635 (or 4629 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 26566160 is about 5154.2370919468. The cubic root of 26566160 is about 298.3845013477.

The spelling of 26566160 in words is "twenty-six million, five hundred sixty-six thousand, one hundred sixty".