5985807424 has 63 divisors (see below), whose sum is σ = 12560829717. Its totient is φ = 2829811968.

The previous prime is 5985807419. The next prime is 5985807449. The reversal of 5985807424 is 4247085895.

The square root of 5985807424 is 77368.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4867573824 + 1118233600 = 69768^2 + 33440^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 11759682 + ... + 11760190.

Almost surely, 2^5985807424 is an apocalyptic number.

5985807424 is the 77368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5985807424

5985807424 is an abundant number, since it is smaller than the sum of its proper divisors (6575022293).

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

5985807424 is an frugal number, since it uses more digits than its factorization.

5985807424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 52.

The cubic root of 5985807424 is about 1815.6867048661.

The spelling of 5985807424 in words is "five billion, nine hundred eighty-five million, eight hundred seven thousand, four hundred twenty-four".