82680112 has 40 divisors (see below), whose sum is σ = 170587296. Its totient is φ = 38685696.

The previous prime is 82680107. The next prime is 82680113. The reversal of 82680112 is 21108628.

It is not an unprimeable number, because it can be changed into a prime (82680113) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 52813 + ... + 54355.

Almost surely, 2^82680112 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 82680112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85293648).

82680112 is an abundant number, since it is smaller than the sum of its proper divisors (87907184).

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

82680112 is a wasteful number, since it uses less digits than its factorization.

82680112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 82680112 is about 9092.8604960155. The cubic root of 82680112 is about 435.6459544807.

The spelling of 82680112 in words is "eighty-two million, six hundred eighty thousand, one hundred twelve".