86805432 has 96 divisors (see below), whose sum is σ = 278678400. Its totient is φ = 24797664.

The previous prime is 86805403. The next prime is 86805469. The reversal of 86805432 is 23450868.

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

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, 10419 + ... + 16797.

It is an arithmetic number, because the mean of its divisors is an integer number (2902900).

Almost surely, 2^86805432 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 86805432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139339200).

86805432 is an abundant number, since it is smaller than the sum of its proper divisors (191872968).

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

86805432 is a wasteful number, since it uses less digits than its factorization.

86805432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6407 (or 6391 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 86805432 is about 9316.9432755599. The cubic root of 86805432 is about 442.7741937502.

The spelling of 86805432 in words is "eighty-six million, eight hundred five thousand, four hundred thirty-two".