86001984 has 42 divisors (see below), whose sum is σ = 246510810. Its totient is φ = 28667136.

The previous prime is 86001983. The next prime is 86001989. The reversal of 86001984 is 48910068.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 69355584 + 16646400 = 8328^2 + 4080^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86001983) 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 5 ways as a sum of consecutive naturals, for example, 74079 + ... + 75230.

It is an arithmetic number, because the mean of its divisors is an integer number (5869305).

Almost surely, 2^86001984 is an apocalyptic number.

It is an amenable number.

86001984 is an abundant number, since it is smaller than the sum of its proper divisors (160508826).

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

86001984 is a wasteful number, since it uses less digits than its factorization.

86001984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149327 (or 149314 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 86001984 is about 9273.7254649898. The cubic root of 86001984 is about 441.4038905537.

The spelling of 86001984 in words is "eighty-six million, one thousand, nine hundred eighty-four".