42676584 has 64 divisors (see below), whose sum is σ = 115968000. Its totient is φ = 13037760.

The previous prime is 42676583. The next prime is 42676639. The reversal of 42676584 is 48567624.

It is not an unprimeable number, because it can be changed into a prime (42676583) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12627 + ... + 15645.

It is an arithmetic number, because the mean of its divisors is an integer number (1812000).

Almost surely, 2^42676584 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 42676584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57984000).

42676584 is an abundant number, since it is smaller than the sum of its proper divisors (73291416).

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

42676584 is a wasteful number, since it uses less digits than its factorization.

42676584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3074 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 42676584 is about 6532.7317410100. The cubic root of 42676584 is about 349.4592575117.

The spelling of 42676584 in words is "forty-two million, six hundred seventy-six thousand, five hundred eighty-four".