42009584 has 40 divisors (see below), whose sum is σ = 88306848. Its totient is φ = 19281920.

The previous prime is 42009577. The next prime is 42009613. The reversal of 42009584 is 48590024.

It is a self number, because there is not a number n which added to its sum of digits gives 42009584.

It is a congruent number.

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, 9269 + ... + 13035.

Almost surely, 2^42009584 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 42009584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44153424).

42009584 is an abundant number, since it is smaller than the sum of its proper divisors (46297264).

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

42009584 is a wasteful number, since it uses less digits than its factorization.

42009584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3833 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 42009584 is about 6481.4800778834. The cubic root of 42009584 is about 347.6291023503.

The spelling of 42009584 in words is "forty-two million, nine thousand, five hundred eighty-four".