82260 has 36 divisors (see below), whose sum is σ = 250068. Its totient is φ = 21888.

The previous prime is 82241. The next prime is 82261. The reversal of 82260 is 6228.

It can be written as a sum of positive squares in 2 ways, for example, as 51984 + 30276 = 228^2 + 174^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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 82260.

It is not an unprimeable number, because it can be changed into a prime (82261) by changing a digit.

82260 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 11 ways as a sum of consecutive naturals, for example, 49 + ... + 408.

2⁸²²⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125034).

82260 is an abundant number, since it is smaller than the sum of its proper divisors (167808).

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

82260 is a wasteful number, since it uses less digits than its factorization.

82260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 467 counting only the distinct ones).

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

The square root of 82260 is about 286.8100416652. The cubic root of 82260 is about 43.4906836965.

Adding to 82260 its reverse (6228), we get a palindrome (88488).

The spelling of 82260 in words is "eighty-two thousand, two hundred sixty".