82584168 has 96 divisors (see below), whose sum is σ = 223300800. Its totient is φ = 25400320.

The previous prime is 82584167. The next prime is 82584197. The reversal of 82584168 is 86148528.

It is not an unprimeable number, because it can be changed into a prime (82584167) 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 23 ways as a sum of consecutive naturals, for example, 927868 + ... + 927956.

It is an arithmetic number, because the mean of its divisors is an integer number (2326050).

Almost surely, 2^82584168 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 82584168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111650400).

82584168 is an abundant number, since it is smaller than the sum of its proper divisors (140716632).

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

82584168 is a wasteful number, since it uses less digits than its factorization.

82584168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 158 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The square root of 82584168 is about 9087.5831770609. The cubic root of 82584168 is about 435.4773778927.

The spelling of 82584168 in words is "eighty-two million, five hundred eighty-four thousand, one hundred sixty-eight".