86211268 has 48 divisors (see below), whose sum is σ = 184980096. Its totient is φ = 34594560.

The previous prime is 86211241. The next prime is 86211269.

86211268 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (86211269) 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 15 ways as a sum of consecutive naturals, for example, 9880 + ... + 16432.

It is an arithmetic number, because the mean of its divisors is an integer number (3853752).

Almost surely, 2^86211268 is an apocalyptic number.

It is an amenable number.

86211268 is an abundant number, since it is smaller than the sum of its proper divisors (98768828).

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

86211268 is a wasteful number, since it uses less digits than its factorization.

86211268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604 (or 6602 counting only the distinct ones).

The product of its digits is 9216, while the sum is 34.

The square root of 86211268 is about 9285.0023155624. The cubic root of 86211268 is about 441.7616495059.

It can be divided in two parts, 8621 and 1268, that added together give a palindrome (9889).

The spelling of 86211268 in words is "eighty-six million, two hundred eleven thousand, two hundred sixty-eight".