86128579 has 8 divisors (see below), whose sum is σ = 94340160. Its totient is φ = 78266496.

The previous prime is 86128573. The next prime is 86128589. The reversal of 86128579 is 97582168.

86128579 = 147² + 148² + ... + 639².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 86128579 - 2⁵ = 86128547 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86128573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86859 + ... + 87844.

It is an arithmetic number, because the mean of its divisors is an integer number (11792520).

Almost surely, 2^86128579 is an apocalyptic number.

86128579 is a deficient number, since it is larger than the sum of its proper divisors (8211581).

86128579 is a wasteful number, since it uses less digits than its factorization.

86128579 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174749.

The product of its digits is 241920, while the sum is 46.

The square root of 86128579 is about 9280.5484212949. The cubic root of 86128579 is about 441.6203666825.

The spelling of 86128579 in words is "eighty-six million, one hundred twenty-eight thousand, five hundred seventy-nine".