26808160 has 48 divisors (see below), whose sum is σ = 63848736. Its totient is φ = 10636288.

The previous prime is 26808143. The next prime is 26808169. The reversal of 26808160 is 6180862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26808169) by changing a digit.

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, 21309 + ... + 22531.

It is an arithmetic number, because the mean of its divisors is an integer number (1330182).

Almost surely, 2^26808160 is an apocalyptic number.

26808160 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 26808160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31924368).

26808160 is an abundant number, since it is smaller than the sum of its proper divisors (37040576).

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

26808160 is a wasteful number, since it uses less digits than its factorization.

26808160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 26808160 is about 5177.6597029932. The cubic root of 26808160 is about 299.2877920188.

The spelling of 26808160 in words is "twenty-six million, eight hundred eight thousand, one hundred sixty".