82840 has 32 divisors (see below), whose sum is σ = 198000. Its totient is φ = 31104.

The previous prime is 82837. The next prime is 82847. The reversal of 82840 is 4828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82847) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 706 + ... + 814.

2⁸²⁸⁴⁰ 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 82840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99000).

82840 is an abundant number, since it is smaller than the sum of its proper divisors (115160).

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

82840 is a wasteful number, since it uses less digits than its factorization.

82840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 82840 is about 287.8193878112. The cubic root of 82840 is about 43.5926593146.

Subtracting from 82840 its product of nonzero digits (512), we obtain a palindrome (82328).

It can be divided in two parts, 828 and 40, that added together give a palindrome (868).

The spelling of 82840 in words is "eighty-two thousand, eight hundred forty".