86147712 has 160 divisors (see below), whose sum is σ = 293245920. Its totient is φ = 24592896.

The previous prime is 86147701. The next prime is 86147717. The reversal of 86147712 is 21774168.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (86147717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71983 + ... + 73169.

It is an arithmetic number, because the mean of its divisors is an integer number (1832787).

Almost surely, 2^86147712 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 86147712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146622960).

86147712 is an abundant number, since it is smaller than the sum of its proper divisors (207098208).

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

86147712 is a wasteful number, since it uses less digits than its factorization.

86147712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1199 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 86147712 is about 9281.5791759808. The cubic root of 86147712 is about 441.6530654567.

The spelling of 86147712 in words is "eighty-six million, one hundred forty-seven thousand, seven hundred twelve".