86266656 has 108 divisors (see below), whose sum is σ = 285419862. Its totient is φ = 24643584.

The previous prime is 86266651. The next prime is 86266709. The reversal of 86266656 is 65666268.

It can be written as a sum of positive squares in only one way, i.e., 71978256 + 14288400 = 8484^2 + 3780^2 .

It is not an unprimeable number, because it can be changed into a prime (86266651) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11056 + ... + 17168.

Almost surely, 2^86266656 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 86266656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142709931).

86266656 is an abundant number, since it is smaller than the sum of its proper divisors (199153206).

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

86266656 is a wasteful number, since it uses less digits than its factorization.

86266656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6143 (or 6125 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 86266656 is about 9287.9844961111. The cubic root of 86266656 is about 441.8562351931.

The spelling of 86266656 in words is "eighty-six million, two hundred sixty-six thousand, six hundred fifty-six".