42679584 has 36 divisors (see below), whose sum is σ = 121370886. Its totient is φ = 14226432.

The previous prime is 42679583. The next prime is 42679589. The reversal of 42679584 is 48597624.

It is a happy number.

42679584 is a `hidden beast` number, since 4 + 2 + 67 + 9 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33315984 + 9363600 = 5772^2 + 3060^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (42679583) 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 5 ways as a sum of consecutive naturals, for example, 73809 + ... + 74384.

Almost surely, 2^42679584 is an apocalyptic number.

It is an amenable number.

42679584 is an abundant number, since it is smaller than the sum of its proper divisors (78691302).

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

42679584 is a wasteful number, since it uses less digits than its factorization.

42679584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148209 (or 148198 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 42679584 is about 6532.9613499546. The cubic root of 42679584 is about 349.4674458679.

The spelling of 42679584 in words is "forty-two million, six hundred seventy-nine thousand, five hundred eighty-four".