86805648 has 80 divisors (see below), whose sum is σ = 255013440. Its totient is φ = 28256256.

The previous prime is 86805647. The next prime is 86805659. The reversal of 86805648 is 84650868.

86805648 is a `hidden beast` number, since 8 + 6 + 80 + 564 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (86805647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16240 + ... + 20912.

It is an arithmetic number, because the mean of its divisors is an integer number (3187668).

Almost surely, 2^86805648 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 86805648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127506720).

86805648 is an abundant number, since it is smaller than the sum of its proper divisors (168207792).

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

86805648 is a wasteful number, since it uses less digits than its factorization.

86805648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4733 (or 4721 counting only the distinct ones).

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

The square root of 86805648 is about 9316.9548673373. The cubic root of 86805648 is about 442.7745610050.

The spelling of 86805648 in words is "eighty-six million, eight hundred five thousand, six hundred forty-eight".