86646912 has 128 divisors (see below), whose sum is σ = 255424320. Its totient is φ = 25804800.

The previous prime is 86646907. The next prime is 86646913. The reversal of 86646912 is 21964668.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (86646913) 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 15 ways as a sum of consecutive naturals, for example, 308212 + ... + 308492.

Almost surely, 2^86646912 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 86646912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127712160).

86646912 is an abundant number, since it is smaller than the sum of its proper divisors (168777408).

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

86646912 is a wasteful number, since it uses less digits than its factorization.

86646912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 86646912 is about 9308.4323062479. The cubic root of 86646912 is about 442.5045050453.

It can be divided in two parts, 8664 and 6912, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 86646912 in words is "eighty-six million, six hundred forty-six thousand, nine hundred twelve".