75668060 has 72 divisors (see below), whose sum is σ = 175363776. Its totient is φ = 27406080.

The previous prime is 75668059. The next prime is 75668069. The reversal of 75668060 is 6086657.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75668069) 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 23 ways as a sum of consecutive naturals, for example, 205997 + ... + 206363.

It is an arithmetic number, because the mean of its divisors is an integer number (2435608).

Almost surely, 2^75668060 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 75668060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87681888).

75668060 is an abundant number, since it is smaller than the sum of its proper divisors (99695716).

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

75668060 is a wasteful number, since it uses less digits than its factorization.

75668060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 75668060 is about 8698.7389890719. The cubic root of 75668060 is about 422.9647745296.

The spelling of 75668060 in words is "seventy-five million, six hundred sixty-eight thousand, sixty".