128585565 has 24 divisors (see below), whose sum is σ = 230569560. Its totient is φ = 66213504.

The previous prime is 128585557. The next prime is 128585599. The reversal of 128585565 is 565585821.

128585565 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 85 + 565 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25583364 + 103002201 = 5058^2 + 10149^2 .

It is not a de Polignac number, because 128585565 - 2³ = 128585557 is a prime.

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 128585565.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47962 + ... + 50571.

It is an arithmetic number, because the mean of its divisors is an integer number (9607065).

Almost surely, 2^128585565 is an apocalyptic number.

128585565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128585565 is a deficient number, since it is larger than the sum of its proper divisors (101983995).

128585565 is a wasteful number, since it uses less digits than its factorization.

128585565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98573 (or 98570 counting only the distinct ones).

The product of its digits is 480000, while the sum is 45.

The square root of 128585565 is about 11339.5575310503. The cubic root of 128585565 is about 504.7357569317.

The spelling of 128585565 in words is "one hundred twenty-eight million, five hundred eighty-five thousand, five hundred sixty-five".