1585399872 has 112 divisors (see below), whose sum is σ = 5076017280. Its totient is φ = 426319872.

The previous prime is 1585399709. The next prime is 1585399891. The reversal of 1585399872 is 2789935851.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11847 + ... + 57542.

Almost surely, 2^1585399872 is an apocalyptic number.

1585399872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1585399872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538008640).

1585399872 is an abundant number, since it is smaller than the sum of its proper divisors (3490617408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1585399872 is a wasteful number, since it uses less digits than its factorization.

1585399872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69428 (or 69418 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 57.

The square root of 1585399872 is about 39817.0801541248. The cubic root of 1585399872 is about 1166.0386329015.

The spelling of 1585399872 in words is "one billion, five hundred eighty-five million, three hundred ninety-nine thousand, eight hundred seventy-two".