86307984 has 80 divisors (see below), whose sum is σ = 283136640. Its totient is φ = 24658560.

The previous prime is 86307971. The next prime is 86307989. The reversal of 86307984 is 48970368.

It is a happy number.

86307984 is a `hidden beast` number, since 8 + 630 + 7 + 9 + 8 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (86307989) by changing a digit.

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, 11247 + ... + 17294.

It is an arithmetic number, because the mean of its divisors is an integer number (3539208).

Almost surely, 2^86307984 is an apocalyptic number.

86307984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

86307984 is an abundant number, since it is smaller than the sum of its proper divisors (196828656).

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

86307984 is a wasteful number, since it uses less digits than its factorization.

86307984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28565 (or 28553 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 86307984 is about 9290.2090396288. The cubic root of 86307984 is about 441.9267843484.

The spelling of 86307984 in words is "eighty-six million, three hundred seven thousand, nine hundred eighty-four".