128259585 has 16 divisors (see below), whose sum is σ = 228017280. Its totient is φ = 68405040.

The previous prime is 128259563. The next prime is 128259601. The reversal of 128259585 is 585952821.

It is a happy number.

128259585 is a `hidden beast` number, since 12 + 8 + 2 + 59 + 585 = 666.

It is not a de Polignac number, because 128259585 - 2⁵ = 128259553 is a prime.

It is a super-2 number, since 2×128259585² = 32901042288744450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 128259585.

It is an unprimeable number.

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, 474901 + ... + 475170.

It is an arithmetic number, because the mean of its divisors is an integer number (14251080).

Almost surely, 2^128259585 is an apocalyptic number.

128259585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128259585 is a deficient number, since it is larger than the sum of its proper divisors (99757695).

128259585 is an equidigital number, since it uses as much as digits as its factorization.

128259585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950085 (or 950079 counting only the distinct ones).

The product of its digits is 288000, while the sum is 45.

The square root of 128259585 is about 11325.1748330876. The cubic root of 128259585 is about 504.3088738781.

The spelling of 128259585 in words is "one hundred twenty-eight million, two hundred fifty-nine thousand, five hundred eighty-five".