86218641 has 8 divisors (see below), whose sum is σ = 127731360. Its totient is φ = 57479076.

The previous prime is 86218631. The next prime is 86218709. The reversal of 86218641 is 14681268.

86218641 is a `hidden beast` number, since 8 + 6 + 2 + 1 + 8 + 641 = 666.

It is not a de Polignac number, because 86218641 - 2¹¹ = 86216593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86218596 and 86218605.

It is not an unprimeable number, because it can be changed into a prime (86218631) 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 7 ways as a sum of consecutive naturals, for example, 1596615 + ... + 1596668.

It is an arithmetic number, because the mean of its divisors is an integer number (15966420).

Almost surely, 2^86218641 is an apocalyptic number.

It is an amenable number.

86218641 is a deficient number, since it is larger than the sum of its proper divisors (41512719).

86218641 is a wasteful number, since it uses less digits than its factorization.

86218641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193292 (or 3193286 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 86218641 is about 9285.3993452086. The cubic root of 86218641 is about 441.7742426617.

It can be divided in two parts, 862 and 18641, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 86218641 in words is "eighty-six million, two hundred eighteen thousand, six hundred forty-one".