86216112 has 120 divisors (see below), whose sum is σ = 262014480. Its totient is φ = 26357760.

The previous prime is 86216099. The next prime is 86216171. The reversal of 86216112 is 21161268.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99939 + ... + 100797.

It is an arithmetic number, because the mean of its divisors is an integer number (2183454).

Almost surely, 2^86216112 is an apocalyptic number.

86216112 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86216112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131007240).

86216112 is an abundant number, since it is smaller than the sum of its proper divisors (175798368).

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

86216112 is a wasteful number, since it uses less digits than its factorization.

86216112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 922 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 86216112 is about 9285.2631626680. The cubic root of 86216112 is about 441.7699231860.

The spelling of 86216112 in words is "eighty-six million, two hundred sixteen thousand, one hundred twelve".