82710432 has 108 divisors (see below), whose sum is σ = 273655746. Its totient is φ = 23627520.

The previous prime is 82710403. The next prime is 82710451. The reversal of 82710432 is 23401728.

It can be written as a sum of positive squares in only one way, i.e., 71978256 + 10732176 = 8484^2 + 3276^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82710396 and 82710405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11182 + ... + 17042.

Almost surely, 2^82710432 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 82710432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136827873).

82710432 is an abundant number, since it is smaller than the sum of its proper divisors (190945314).

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

82710432 is a wasteful number, since it uses less digits than its factorization.

82710432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5891 (or 5873 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 82710432 is about 9094.5275853119. The cubic root of 82710432 is about 435.6992005425.

The spelling of 82710432 in words is "eighty-two million, seven hundred ten thousand, four hundred thirty-two".