82086564 has 72 divisors (see below), whose sum is σ = 224652960. Its totient is φ = 23259264.

The previous prime is 82086547. The next prime is 82086611. The reversal of 82086564 is 46568028.

82086564 is nontrivially palindromic in base 13.

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 23 ways as a sum of consecutive naturals, for example, 80047 + ... + 81065.

It is an arithmetic number, because the mean of its divisors is an integer number (3120180).

Almost surely, 2^82086564 is an apocalyptic number.

82086564 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82086564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112326480).

82086564 is an abundant number, since it is smaller than the sum of its proper divisors (142566396).

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

82086564 is a wasteful number, since it uses less digits than its factorization.

82086564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 82086564 is about 9060.1635746823. The cubic root of 82086564 is about 434.6009711122.

The spelling of 82086564 in words is "eighty-two million, eighty-six thousand, five hundred sixty-four".