82026 has 48 divisors (see below), whose sum is σ = 218880. Its totient is φ = 22680.

The previous prime is 82021. The next prime is 82031. The reversal of 82026 is 62028.

82026 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (82021) and next prime (82031).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (82021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2631 + ... + 2661.

It is an arithmetic number, because the mean of its divisors is an integer number (4560).

2⁸²⁰²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109440).

82026 is an abundant number, since it is smaller than the sum of its proper divisors (136854).

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

82026 is a wasteful number, since it uses less digits than its factorization.

82026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 82026 is about 286.4018156367. The cubic root of 82026 is about 43.4494061009.

The spelling of 82026 in words is "eighty-two thousand, twenty-six".