6005587968 has 144 divisors (see below), whose sum is σ = 17804752560. Its totient is φ = 2000683008.

The previous prime is 6005587897. The next prime is 6005587969. The reversal of 6005587968 is 8697855006.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005587969) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3538096 + ... + 3539792.

It is an arithmetic number, because the mean of its divisors is an integer number (123644115).

Almost surely, 2^6005587968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6005587968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8902376280).

6005587968 is an abundant number, since it is smaller than the sum of its proper divisors (11799164592).

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

6005587968 is an frugal number, since it uses more digits than its factorization.

6005587968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 6005587968 is about 77495.7287081036. The cubic root of 6005587968 is about 1817.6845295608.

The spelling of 6005587968 in words is "six billion, five million, five hundred eighty-seven thousand, nine hundred sixty-eight".