42584020 has 24 divisors (see below), whose sum is σ = 89859168. Its totient is φ = 16951200.

The previous prime is 42583991. The next prime is 42584057. The reversal of 42584020 is 2048524.

It is a happy number.

42584020 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 an unprimeable number.

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, 826 + ... + 9265.

It is an arithmetic number, because the mean of its divisors is an integer number (3744132).

Almost surely, 2^42584020 is an apocalyptic number.

It is an amenable number.

42584020 is an abundant number, since it is smaller than the sum of its proper divisors (47275148).

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

42584020 is a wasteful number, since it uses less digits than its factorization.

42584020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10311 (or 10309 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 42584020 is about 6525.6432633113. The cubic root of 42584020 is about 349.2064197050.

The spelling of 42584020 in words is "forty-two million, five hundred eighty-four thousand, twenty".