128586393 has 16 divisors (see below), whose sum is σ = 205152640. Its totient is φ = 79129872.

The previous prime is 128586391. The next prime is 128586397. The reversal of 128586393 is 393685821.

It is a happy number.

128586393 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 8 + 639 + 3 = 666.

It is not a de Polignac number, because 128586393 - 2¹ = 128586391 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128586391) 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 15 ways as a sum of consecutive naturals, for example, 182821 + ... + 183522.

It is an arithmetic number, because the mean of its divisors is an integer number (12822040).

Almost surely, 2^128586393 is an apocalyptic number.

128586393 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

128586393 is a deficient number, since it is larger than the sum of its proper divisors (76566247).

128586393 is a wasteful number, since it uses less digits than its factorization.

128586393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366365 (or 366359 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 128586393 is about 11339.5940403526. The cubic root of 128586393 is about 504.7368403096.

It can be divided in two parts, 1285863 and 93, that added together give a square (1285956 = 1134²).

The spelling of 128586393 in words is "one hundred twenty-eight million, five hundred eighty-six thousand, three hundred ninety-three".