42595584 has 72 divisors (see below), whose sum is σ = 116508000. Its totient is φ = 13805568.

The previous prime is 42595571. The next prime is 42595589. The reversal of 42595584 is 48559524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42595589) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27667 + ... + 29165.

Almost surely, 2^42595584 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 42595584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58254000).

42595584 is an abundant number, since it is smaller than the sum of its proper divisors (73912416).

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

42595584 is a wasteful number, since it uses less digits than its factorization.

42595584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1541 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

The square root of 42595584 is about 6526.5292460848. The cubic root of 42595584 is about 349.2380266909.

The spelling of 42595584 in words is "forty-two million, five hundred ninety-five thousand, five hundred eighty-four".