82116636 has 48 divisors (see below), whose sum is σ = 221168640. Its totient is φ = 23227200.

The previous prime is 82116589. The next prime is 82116641. The reversal of 82116636 is 63661128.

It is a junction number, because it is equal to n+sod(n) for n = 82116597 and 82116606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3645 + ... + 13323.

It is an arithmetic number, because the mean of its divisors is an integer number (4607680).

Almost surely, 2^82116636 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 82116636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110584320).

82116636 is an abundant number, since it is smaller than the sum of its proper divisors (139052004).

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

82116636 is a wasteful number, since it uses less digits than its factorization.

82116636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9794 (or 9792 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 82116636 is about 9061.8229954022. The cubic root of 82116636 is about 434.6540359263.

The spelling of 82116636 in words is "eighty-two million, one hundred sixteen thousand, six hundred thirty-six".