82484168 has 60 divisors (see below), whose sum is σ = 176827815. Its totient is φ = 36065952.

The previous prime is 82484161. The next prime is 82484209. The reversal of 82484168 is 86148428.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 1444 + 82482724 = 38^2 + 9082^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6422.

It is a Duffinian number.

Its product of digits (98304) is a multiple of the sum of its prime factors (96).

It is not an unprimeable number, because it can be changed into a prime (82484161) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4341263 + ... + 4341281.

Almost surely, 2^82484168 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 82484168

82484168 is an abundant number, since it is smaller than the sum of its proper divisors (94343647).

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

82484168 is an equidigital number, since it uses as much as digits as its factorization.

82484168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 34 counting only the distinct ones).

The product of its digits is 98304, while the sum is 41.

The square root of 82484168 is about 9082.0794975600. The cubic root of 82484168 is about 435.3015357678.

The spelling of 82484168 in words is "eighty-two million, four hundred eighty-four thousand, one hundred sixty-eight".