82240 has 28 divisors (see below), whose sum is σ = 196596. Its totient is φ = 32768.

The previous prime is 82237. The next prime is 82241. The reversal of 82240 is 4228.

It can be written as a sum of positive squares in 2 ways, for example, as 61504 + 20736 = 248^2 + 144^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a d-powerful number, because it can be written as 8² + 2¹⁴ + 2¹⁶ + 4⁴ + 0 .

It is a cake number, because a cake can be divided into 82240 parts by 79 planar cuts.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82241) by changing a digit.

In principle, a polygon with 82240 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 192 + ... + 448.

2⁸²²⁴⁰ is an apocalyptic number.

82240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98298).

82240 is an abundant number, since it is smaller than the sum of its proper divisors (114356).

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

82240 is a wasteful number, since it uses less digits than its factorization.

82240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 82240 is about 286.7751732630. The cubic root of 82240 is about 43.4871587586.

Adding to 82240 its reverse (4228), we get a palindrome (86468).

The spelling of 82240 in words is "eighty-two thousand, two hundred forty".