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26080 = 255163

26080 has 24 divisors (see below), whose sum is σ = 61992. Its totient is φ = 10368.

The previous prime is 26053. The next prime is 26083. The reversal of 26080 is 8062.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26083) by changing a digit.

26080 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 79 + ... + 241.

It is an arithmetic number, because the mean of its divisors is an integer number (2583).

226080 is an apocalyptic number.

26080 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 26080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30996).

26080 is an abundant number, since it is smaller than the sum of its proper divisors (35912).

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

26080 is a wasteful number, since it uses less digits than its factorization.

26080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 26080 is about 161.4930339055. The cubic root of 26080 is about 29.6553141486.

The spelling of 26080 in words is "twenty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 163 326 652 815 1304 1630 2608 3260 5216 6520 13040 26080