82071936 has 96 divisors (see below), whose sum is σ = 238043520. Its totient is φ = 27141120.

The previous prime is 82071881. The next prime is 82071949. The reversal of 82071936 is 63917028.

It is a tau number, because it is divible by the number of its divisors (96).

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 82071936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219846 + ... + 220218.

It is an arithmetic number, because the mean of its divisors is an integer number (2479620).

Almost surely, 2^82071936 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 82071936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119021760).

82071936 is an abundant number, since it is smaller than the sum of its proper divisors (155971584).

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

82071936 is a wasteful number, since it uses less digits than its factorization.

82071936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 82071936 is about 9059.3562685215. The cubic root of 82071936 is about 434.5751539733.

The spelling of 82071936 in words is "eighty-two million, seventy-one thousand, nine hundred thirty-six".