86005992 has 64 divisors (see below), whose sum is σ = 230947200. Its totient is φ = 26593280.

The previous prime is 86005991. The next prime is 86006003. The reversal of 86005992 is 29950068.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 86005992.

It is not an unprimeable number, because it can be changed into a prime (86005991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27484 + ... + 30452.

It is an arithmetic number, because the mean of its divisors is an integer number (3608550).

Almost surely, 2^86005992 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 86005992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115473600).

86005992 is an abundant number, since it is smaller than the sum of its proper divisors (144941208).

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

86005992 is a wasteful number, since it uses less digits than its factorization.

86005992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3066 (or 3062 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 86005992 is about 9273.9415568570. The cubic root of 86005992 is about 441.4107474471.

The spelling of 86005992 in words is "eighty-six million, five thousand, nine hundred ninety-two".