86185056 has 48 divisors (see below), whose sum is σ = 227921904. Its totient is φ = 28514304.

The previous prime is 86185051. The next prime is 86185061. The reversal of 86185056 is 65058168.

It is an interprime number because it is at equal distance from previous prime (86185051) and next prime (86185061).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86185051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9876 + ... + 16428.

It is an arithmetic number, because the mean of its divisors is an integer number (4748373).

Almost surely, 2^86185056 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 86185056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113960952).

86185056 is an abundant number, since it is smaller than the sum of its proper divisors (141736848).

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

86185056 is a wasteful number, since it uses less digits than its factorization.

86185056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6703 (or 6695 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 86185056 is about 9283.5906846435. The cubic root of 86185056 is about 441.7168733400.

The spelling of 86185056 in words is "eighty-six million, one hundred eighty-five thousand, fifty-six".