82086128 has 40 divisors (see below), whose sum is σ = 164232048. Its totient is φ = 39716352.

The previous prime is 82086127. The next prime is 82086143. The reversal of 82086128 is 82168028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82086127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185075 + ... + 185517.

Almost surely, 2^82086128 is an apocalyptic number.

It is an amenable number.

82086128 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

82086128 is a wasteful number, since it uses less digits than its factorization.

82086128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 82086128 is about 9060.1395132746. The cubic root of 82086128 is about 434.6002016548.

The spelling of 82086128 in words is "eighty-two million, eighty-six thousand, one hundred twenty-eight".