6006045960 has 48 divisors (see below), whose sum is σ = 19519650540. Its totient is φ = 1601612160.

The previous prime is 6006045943. The next prime is 6006045961. The reversal of 6006045960 is 695406006.

It is a happy number.

6006045960 is a `hidden beast` number, since 6 + 0 + 0 + 60 + 4 + 596 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5546972484 + 459073476 = 74478^2 + 21426^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6006045961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8341371 + ... + 8342090.

Almost surely, 2^6006045960 is an apocalyptic number.

6006045960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6006045960 is an abundant number, since it is smaller than the sum of its proper divisors (13513604580).

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

6006045960 is a wasteful number, since it uses less digits than its factorization.

6006045960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16683478 (or 16683471 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6006045960 is about 77498.6836017232. The cubic root of 6006045960 is about 1817.7307345184.

The spelling of 6006045960 in words is "six billion, six million, forty-five thousand, nine hundred sixty".