42084168 has 32 divisors (see below), whose sum is σ = 120240960. Its totient is φ = 12024000.

The previous prime is 42084151. The next prime is 42084179. The reversal of 42084168 is 86148024.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125083 + ... + 125418.

It is an arithmetic number, because the mean of its divisors is an integer number (3757530).

Almost surely, 2^42084168 is an apocalyptic number.

It is an amenable number.

42084168 is an abundant number, since it is smaller than the sum of its proper divisors (78156792).

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

42084168 is a wasteful number, since it uses less digits than its factorization.

42084168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250517 (or 250513 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 42084168 is about 6487.2311504986. The cubic root of 42084168 is about 347.8347081323.

The spelling of 42084168 in words is "forty-two million, eighty-four thousand, one hundred sixty-eight".