86005536 has 48 divisors (see below), whose sum is σ = 231281568. Its totient is φ = 27968000.

The previous prime is 86005511. The next prime is 86005537. The reversal of 86005536 is 63550068.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 86005497 and 86005506.

It is not an unprimeable number, because it can be changed into a prime (86005537) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6990 + ... + 14861.

It is an arithmetic number, because the mean of its divisors is an integer number (4818366).

Almost surely, 2^86005536 is an apocalyptic number.

It is an amenable number.

86005536 is an abundant number, since it is smaller than the sum of its proper divisors (145276032).

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

86005536 is a wasteful number, since it uses less digits than its factorization.

86005536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21905 (or 21897 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 86005536 is about 9273.9169718086. The cubic root of 86005536 is about 441.4099673323.

The spelling of 86005536 in words is "eighty-six million, five thousand, five hundred thirty-six".