42907584 has 56 divisors (see below), whose sum is σ = 114198400. Its totient is φ = 14217984.

The previous prime is 42907561. The next prime is 42907589. The reversal of 42907584 is 48570924.

42907584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42907589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37647 + ... + 38769.

Almost surely, 2^42907584 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 42907584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57099200).

42907584 is an abundant number, since it is smaller than the sum of its proper divisors (71290816).

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

42907584 is a wasteful number, since it uses less digits than its factorization.

42907584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 42907584 is about 6550.3880801064. The cubic root of 42907584 is about 350.0886414942.

The spelling of 42907584 in words is "forty-two million, nine hundred seven thousand, five hundred eighty-four".