86424912 has 120 divisors (see below), whose sum is σ = 280023744. Its totient is φ = 24371712.

The previous prime is 86424907. The next prime is 86424937. The reversal of 86424912 is 21942468.

86424912 is a `hidden beast` number, since 8 + 642 + 4 + 9 + 1 + 2 = 666.

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 a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 83148 + ... + 84180.

Almost surely, 2^86424912 is an apocalyptic number.

It is a pronic number, being equal to 9296×9297.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86424912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140011872).

86424912 is an abundant number, since it is smaller than the sum of its proper divisors (193598832).

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

86424912 is a wasteful number, since it uses less digits than its factorization.

86424912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1128 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 86424912 is about 9296.4999865541. The cubic root of 86424912 is about 442.1262649171.

The spelling of 86424912 in words is "eighty-six million, four hundred twenty-four thousand, nine hundred twelve".