82116936 has 256 divisors, whose sum is σ = 279936000. Its totient is φ = 21980160.

The previous prime is 82116929. The next prime is 82116977. The reversal of 82116936 is 63961128.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 82116936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 767395 + ... + 767501.

It is an arithmetic number, because the mean of its divisors is an integer number (1093500).

Almost surely, 2^82116936 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 82116936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139968000).

82116936 is an abundant number, since it is smaller than the sum of its proper divisors (197819064).

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

82116936 is a wasteful number, since it uses less digits than its factorization.

82116936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 159 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 82116936 is about 9061.8395483478. The cubic root of 82116936 is about 434.6545652387.

The spelling of 82116936 in words is "eighty-two million, one hundred sixteen thousand, nine hundred thirty-six".