86364512 has 96 divisors (see below), whose sum is σ = 195197184. Its totient is φ = 37324800.

The previous prime is 86364503. The next prime is 86364547. The reversal of 86364512 is 21546368.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477062 + ... + 477242.

It is an arithmetic number, because the mean of its divisors is an integer number (2033304).

Almost surely, 2^86364512 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 86364512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97598592).

86364512 is an abundant number, since it is smaller than the sum of its proper divisors (108832672).

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

86364512 is a wasteful number, since it uses less digits than its factorization.

86364512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 86364512 is about 9293.2508843784. The cubic root of 86364512 is about 442.0232442749.

The spelling of 86364512 in words is "eighty-six million, three hundred sixty-four thousand, five hundred twelve".