82916568 has 256 divisors, whose sum is σ = 285696000. Its totient is φ = 21772800.

The previous prime is 82916557. The next prime is 82916591. The reversal of 82916568 is 86561928.

82916568 is a `hidden beast` number, since 82 + 9 + 1 + 6 + 568 = 666.

It is a super-3 number, since 3×82916568³ (a number of 25 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 1359258 + ... + 1359318.

It is an arithmetic number, because the mean of its divisors is an integer number (1116000).

Almost surely, 2^82916568 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 82916568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142848000).

82916568 is an abundant number, since it is smaller than the sum of its proper divisors (202779432).

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

82916568 is a wasteful number, since it uses less digits than its factorization.

82916568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 133 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 82916568 is about 9105.8535020063. The cubic root of 82916568 is about 436.0608589961.

The spelling of 82916568 in words is "eighty-two million, nine hundred sixteen thousand, five hundred sixty-eight".