1328166585 has 32 divisors (see below), whose sum is σ = 2416106880. Its totient is φ = 691879104.

The previous prime is 1328166577. The next prime is 1328166607. The reversal of 1328166585 is 5856618231.

1328166585 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 1 + 66 + 585 = 666.

It is not a de Polignac number, because 1328166585 - 2³ = 1328166577 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 1328166585.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108594 + ... + 120203.

It is an arithmetic number, because the mean of its divisors is an integer number (75503340).

Almost surely, 2^1328166585 is an apocalyptic number.

1328166585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1328166585 is a deficient number, since it is larger than the sum of its proper divisors (1087940295).

1328166585 is a wasteful number, since it uses less digits than its factorization.

1328166585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228854 (or 228848 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 1328166585 is about 36444.0198798102. The cubic root of 1328166585 is about 1099.2188903692.

The spelling of 1328166585 in words is "one billion, three hundred twenty-eight million, one hundred sixty-six thousand, five hundred eighty-five".