86414112 has 72 divisors (see below), whose sum is σ = 253693440. Its totient is φ = 27872640.

The previous prime is 86414093. The next prime is 86414117. The reversal of 86414112 is 21141468.

It is a happy number.

86414112 is a `hidden beast` number, since 8 + 641 + 4 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86414117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4089 + ... + 13767.

It is an arithmetic number, because the mean of its divisors is an integer number (3523520).

Almost surely, 2^86414112 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 86414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126846720).

86414112 is an abundant number, since it is smaller than the sum of its proper divisors (167279328).

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

86414112 is a wasteful number, since it uses less digits than its factorization.

86414112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9726 (or 9715 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 86414112 is about 9295.9191046394. The cubic root of 86414112 is about 442.1078475323.

The spelling of 86414112 in words is "eighty-six million, four hundred fourteen thousand, one hundred twelve".