26268160 has 80 divisors (see below), whose sum is σ = 65210112. Its totient is φ = 10137600.

The previous prime is 26268149. The next prime is 26268163. The reversal of 26268160 is 6186262.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (26268163) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 79195 + ... + 79525.

Almost surely, 2^26268160 is an apocalyptic number.

26268160 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 26268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32605056).

26268160 is an abundant number, since it is smaller than the sum of its proper divisors (38941952).

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

26268160 is an equidigital number, since it uses as much as digits as its factorization.

26268160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 26268160 is about 5125.2473111061. The cubic root of 26268160 is about 297.2646162036.

The spelling of 26268160 in words is "twenty-six million, two hundred sixty-eight thousand, one hundred sixty".