82286568 has 192 divisors, whose sum is σ = 289161600. Its totient is φ = 20528640.

The previous prime is 82286551. The next prime is 82286593. The reversal of 82286568 is 86568228.

82286568 is a `hidden beast` number, since 8 + 2 + 2 + 86 + 568 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124158 + ... + 124818.

It is an arithmetic number, because the mean of its divisors is an integer number (1506050).

Almost surely, 2^82286568 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 82286568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144580800).

82286568 is an abundant number, since it is smaller than the sum of its proper divisors (206875032).

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

82286568 is a wasteful number, since it uses less digits than its factorization.

82286568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 705 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 82286568 is about 9071.1944086763. The cubic root of 82286568 is about 434.9536534055.

The spelling of 82286568 in words is "eighty-two million, two hundred eighty-six thousand, five hundred sixty-eight".