42084216 has 48 divisors (see below), whose sum is σ = 114316800. Its totient is φ = 13986432.

The previous prime is 42084193. The next prime is 42084233. The reversal of 42084216 is 61248024.

It is a self number, because there is not a number n which added to its sum of digits gives 42084216.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 32265 + ... + 33543.

It is an arithmetic number, because the mean of its divisors is an integer number (2381600).

Almost surely, 2^42084216 is an apocalyptic number.

It is an amenable number.

42084216 is an abundant number, since it is smaller than the sum of its proper divisors (72232584).

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

42084216 is a wasteful number, since it uses less digits than its factorization.

42084216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42084216 is about 6487.2348500729. The cubic root of 42084216 is about 347.8348403757.

The spelling of 42084216 in words is "forty-two million, eighty-four thousand, two hundred sixteen".