82040 has 32 divisors (see below), whose sum is σ = 211680. Its totient is φ = 28032.

The previous prime is 82039. The next prime is 82051. The reversal of 82040 is 4028.

82040 = T₉ + T₁₀ + ... + T₇₈.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 82040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134 + ... + 426.

It is an arithmetic number, because the mean of its divisors is an integer number (6615).

2⁸²⁰⁴⁰ 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 82040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840).

82040 is an abundant number, since it is smaller than the sum of its proper divisors (129640).

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

82040 is a wasteful number, since it uses less digits than its factorization.

82040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 82040 is about 286.4262557797. The cubic root of 82040 is about 43.4518779069.

Adding to 82040 its reverse (4028), we get a palindrome (86068).

It can be divided in two parts, 8 and 2040, that added together give a 11-th power (2048 = 2¹¹).

The spelling of 82040 in words is "eighty-two thousand, forty".