86855868 has 96 divisors (see below), whose sum is σ = 248209920. Its totient is φ = 26046720.

The previous prime is 86855863. The next prime is 86855869.

86855868 is a `hidden beast` number, since 86 + 8 + 558 + 6 + 8 = 666.

86855868 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86855863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133921 + ... + 134567.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 2^86855868 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 86855868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124104960).

86855868 is an abundant number, since it is smaller than the sum of its proper divisors (161354052).

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

86855868 is a wasteful number, since it uses less digits than its factorization.

86855868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 776 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 54.

The square root of 86855868 is about 9319.6495642272. The cubic root of 86855868 is about 442.8599312247.

The spelling of 86855868 in words is "eighty-six million, eight hundred fifty-five thousand, eight hundred sixty-eight".