86588064 has 72 divisors (see below), whose sum is σ = 252274932. Its totient is φ = 28154880.

The previous prime is 86588063. The next prime is 86588093. The reversal of 86588064 is 46088568.

86588064 is a `hidden beast` number, since 8 + 6 + 588 + 0 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56250000 + 30338064 = 7500^2 + 5508^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (86588063) 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 11 ways as a sum of consecutive naturals, for example, 8142 + ... + 15474.

Almost surely, 2^86588064 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 86588064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126137466).

86588064 is an abundant number, since it is smaller than the sum of its proper divisors (165686868).

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

86588064 is a wasteful number, since it uses less digits than its factorization.

86588064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7390 (or 7379 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 86588064 is about 9305.2707644646. The cubic root of 86588064 is about 442.4043037338.

The spelling of 86588064 in words is "eighty-six million, five hundred eighty-eight thousand, sixty-four".