82086336 has 168 divisors, whose sum is σ = 254623824. Its totient is φ = 25190400.

The previous prime is 82086331. The next prime is 82086337. The reversal of 82086336 is 63368028.

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

It is a self number, because there is not a number n which added to its sum of digits gives 82086336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82086331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 812686 + ... + 812786.

It is an arithmetic number, because the mean of its divisors is an integer number (1515618).

Almost surely, 2^82086336 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 82086336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127311912).

82086336 is an abundant number, since it is smaller than the sum of its proper divisors (172537488).

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

82086336 is a wasteful number, since it uses less digits than its factorization.

82086336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 82086336 is about 9060.1509921193. The cubic root of 82086336 is about 434.6005687357.

The spelling of 82086336 in words is "eighty-two million, eighty-six thousand, three hundred thirty-six".