82041320 has 96 divisors (see below), whose sum is σ = 201588480. Its totient is φ = 30028800.

The previous prime is 82041313. The next prime is 82041331. The reversal of 82041320 is 2314028.

It is a super-3 number, since 3×82041320³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 82041292 and 82041301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543245 + ... + 543395.

It is an arithmetic number, because the mean of its divisors is an integer number (2099880).

Almost surely, 2^82041320 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 82041320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100794240).

82041320 is an abundant number, since it is smaller than the sum of its proper divisors (119547160).

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

82041320 is a wasteful number, since it uses less digits than its factorization.

82041320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 82041320 is about 9057.6663661232. Note that the first 3 decimals coincide. The cubic root of 82041320 is about 434.5211094837.

Adding to 82041320 its reverse (2314028), we get a palindrome (84355348).

The spelling of 82041320 in words is "eighty-two million, forty-one thousand, three hundred twenty".