6005985632 has 48 divisors (see below), whose sum is σ = 12535673472. Its totient is φ = 2827560960.

The previous prime is 6005985631. The next prime is 6005985647. The reversal of 6005985632 is 2365895006.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005985631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45113 + ... + 118520.

It is an arithmetic number, because the mean of its divisors is an integer number (261159864).

Almost surely, 2^6005985632 is an apocalyptic number.

6005985632 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

6005985632 is an abundant number, since it is smaller than the sum of its proper divisors (6529687840).

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

6005985632 is a wasteful number, since it uses less digits than its factorization.

6005985632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163711 (or 163703 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 44.

The square root of 6005985632 is about 77498.2943812314. The cubic root of 6005985632 is about 1817.7246484052.

The spelling of 6005985632 in words is "six billion, five million, nine hundred eighty-five thousand, six hundred thirty-two".