82587168 has 96 divisors (see below), whose sum is σ = 244984320. Its totient is φ = 27060480.

The previous prime is 82587143. The next prime is 82587187. The reversal of 82587168 is 86178528.

82587168 is a `hidden beast` number, since 8 + 2 + 587 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 51921 + ... + 53487.

It is an arithmetic number, because the mean of its divisors is an integer number (2551920).

Almost surely, 2^82587168 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 82587168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122492160).

82587168 is an abundant number, since it is smaller than the sum of its proper divisors (162397152).

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

82587168 is a wasteful number, since it uses less digits than its factorization.

82587168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1633 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 82587168 is about 9087.7482359493. The cubic root of 82587168 is about 435.4826509627.

The spelling of 82587168 in words is "eighty-two million, five hundred eighty-seven thousand, one hundred sixty-eight".