86382912 has 112 divisors (see below), whose sum is σ = 285000192. Its totient is φ = 22433280.

The previous prime is 86382887. The next prime is 86382913. The reversal of 86382912 is 21928368.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86382913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11863 + ... + 17705.

Almost surely, 2^86382912 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 86382912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142500096).

86382912 is an abundant number, since it is smaller than the sum of its proper divisors (198617280).

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

86382912 is a wasteful number, since it uses less digits than its factorization.

86382912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5876 (or 5866 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 86382912 is about 9294.2407973971. The cubic root of 86382912 is about 442.0546331327.

The spelling of 86382912 in words is "eighty-six million, three hundred eighty-two thousand, nine hundred twelve".