82118520 has 192 divisors, whose sum is σ = 295682400. Its totient is φ = 19599360.

The previous prime is 82118461. The next prime is 82118521. The reversal of 82118520 is 2581128.

82118520 is a nontrivial binomial coefficient, being equal to C(12816, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82118521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352324 + ... + 352556.

Almost surely, 2^82118520 is an apocalyptic number.

82118520 is the 12815-th triangular number and also the 6408-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82118520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147841200).

82118520 is an abundant number, since it is smaller than the sum of its proper divisors (213563880).

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

82118520 is a wasteful number, since it uses less digits than its factorization.

82118520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 82118520 is about 9061.9269473992. The cubic root of 82118520 is about 434.6573599866.

Adding to 82118520 its reverse (2581128), we get a palindrome (84699648).

The spelling of 82118520 in words is "eighty-two million, one hundred eighteen thousand, five hundred twenty".