42067584 has 144 divisors (see below), whose sum is σ = 132871830. Its totient is φ = 12699648.

The previous prime is 42067573. The next prime is 42067591. The reversal of 42067584 is 48576024.

It can be written as a sum of positive squares in 3 ways, for example, as 36869184 + 5198400 = 6072^2 + 2280^2 .

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

It is a super-3 number, since 3×42067584³ (a number of 24 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 793702 + ... + 793754.

Almost surely, 2^42067584 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 42067584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66435915).

42067584 is an abundant number, since it is smaller than the sum of its proper divisors (90804246).

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

42067584 is a wasteful number, since it uses less digits than its factorization.

42067584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 42067584 is about 6485.9528212900. The cubic root of 42067584 is about 347.7890120193.

The spelling of 42067584 in words is "forty-two million, sixty-seven thousand, five hundred eighty-four".