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26166 = 237289

26166 has 24 divisors (see below), whose sum is σ = 61560. Its totient is φ = 7392.

The previous prime is 26161. The next prime is 26171. The reversal of 26166 is 66162.

26166 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (26161) and next prime (26171).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (432) is a multiple of the sum of its prime factors (108).

It is a nialpdrome in base 13 and base 14.

It is a zygodrome in base 13.

It is a congruent number.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250 + ... + 338.

It is an arithmetic number, because the mean of its divisors is an integer number (2565).

226166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30780).

26166 is an abundant number, since it is smaller than the sum of its proper divisors (35394).

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

26166 is a wasteful number, since it uses less digits than its factorization.

26166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 101 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 26166 is about 161.7590801161. The cubic root of 26166 is about 29.6878749722.

The spelling of 26166 in words is "twenty-six thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 49 89 98 147 178 267 294 534 623 1246 1869 3738 4361 8722 13083 26166