1338660585 has 12 divisors (see below), whose sum is σ = 2320345092. Its totient is φ = 713952288.

The previous prime is 1338660539. The next prime is 1338660601. The reversal of 1338660585 is 5850668331.

1338660585 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 6 + 60 + 585 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 528632064 + 810028521 = 22992^2 + 28461^2 .

It is not a de Polignac number, because 1338660585 - 2¹⁰ = 1338659561 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 29748013 = 1338660585 / (1 + 3 + 3 + 8 + 6 + 6 + 0 + 5 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 1338660585.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14873962 + ... + 14874051.

It is an arithmetic number, because the mean of its divisors is an integer number (193362091).

Almost surely, 2^1338660585 is an apocalyptic number.

1338660585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1338660585 is a deficient number, since it is larger than the sum of its proper divisors (981684507).

1338660585 is a wasteful number, since it uses less digits than its factorization.

1338660585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29748024 (or 29748021 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 1338660585 is about 36587.7108466764. The cubic root of 1338660585 is about 1102.1063181690.

The spelling of 1338660585 in words is "one billion, three hundred thirty-eight million, six hundred sixty thousand, five hundred eighty-five".