82040112 has 240 divisors, whose sum is σ = 294028800. Its totient is φ = 21168000.

The previous prime is 82040107. The next prime is 82040129. The reversal of 82040112 is 21104028.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 543237 + ... + 543387.

It is an arithmetic number, because the mean of its divisors is an integer number (1225120).

Almost surely, 2^82040112 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 82040112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147014400).

82040112 is an abundant number, since it is smaller than the sum of its proper divisors (211988688).

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

82040112 is a wasteful number, since it uses less digits than its factorization.

82040112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 82040112 is about 9057.5996820350. The cubic root of 82040112 is about 434.5189768020.

The spelling of 82040112 in words is "eighty-two million, forty thousand, one hundred twelve".