82079568 has 140 divisors (see below), whose sum is σ = 247210368. Its totient is φ = 26360640.

The previous prime is 82079549. The next prime is 82079573. The reversal of 82079568 is 86597028.

82079568 is a `hidden beast` number, since 82 + 0 + 7 + 9 + 568 = 666.

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 361471 + ... + 361697.

Almost surely, 2^82079568 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 82079568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123605184).

82079568 is an abundant number, since it is smaller than the sum of its proper divisors (165130800).

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

82079568 is a wasteful number, since it uses less digits than its factorization.

82079568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 82079568 is about 9059.7774807111. Note that the first 3 decimals coincide. The cubic root of 82079568 is about 434.5886241676.

The spelling of 82079568 in words is "eighty-two million, seventy-nine thousand, five hundred sixty-eight".