42584832 has 144 divisors (see below), whose sum is σ = 129262560. Its totient is φ = 13824000.

The previous prime is 42584831. The next prime is 42584863. The reversal of 42584832 is 23848524.

42584832 is a `hidden beast` number, since 42 + 584 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42584831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421582 + ... + 421682.

Almost surely, 2^42584832 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 42584832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64631280).

42584832 is an abundant number, since it is smaller than the sum of its proper divisors (86677728).

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

42584832 is a wasteful number, since it uses less digits than its factorization.

42584832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 167 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 42584832 is about 6525.7054791034. The cubic root of 42584832 is about 349.2086392686.

The spelling of 42584832 in words is "forty-two million, five hundred eighty-four thousand, eight hundred thirty-two".