83240 has 16 divisors (see below), whose sum is σ = 187380. Its totient is φ = 33280.

The previous prime is 83233. The next prime is 83243. The reversal of 83240 is 4238.

83240 = T₇₁ + T₇₂ + ... + T₉₄.

It can be written as a sum of positive squares in 2 ways, for example, as 81796 + 1444 = 286^2 + 38^2 .

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1001 + ... + 1080.

2⁸³²⁴⁰ is an apocalyptic number.

It is an amenable number.

83240 is an abundant number, since it is smaller than the sum of its proper divisors (104140).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93690).

83240 is a wasteful number, since it uses less digits than its factorization.

83240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 83240 is about 288.5134312298. The cubic root of 83240 is about 43.6627103098.

Adding to 83240 its reverse (4238), we get a palindrome (87478).

It can be divided in two parts, 83 and 240, that added together give a palindrome (323).

The spelling of 83240 in words is "eighty-three thousand, two hundred forty".