26160 has 40 divisors (see below), whose sum is σ = 81840. Its totient is φ = 6912.

The previous prime is 26153. The next prime is 26161. The reversal of 26160 is 6162.

26160 = T₄₉ + T₅₀ + ... + T₆₄.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 13 and base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 26160.

It is not an unprimeable number, because it can be changed into a prime (26161) by changing a digit.

26160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186 + ... + 294.

It is an arithmetic number, because the mean of its divisors is an integer number (2046).

2²⁶¹⁶⁰ is an apocalyptic number.

26160 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 26160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40920).

26160 is an abundant number, since it is smaller than the sum of its proper divisors (55680).

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

26160 is a wasteful number, since it uses less digits than its factorization.

26160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 26160 is about 161.7405329532. The cubic root of 26160 is about 29.6856056040.

The spelling of 26160 in words is "twenty-six thousand, one hundred sixty".