42787584 has 162 divisors, whose sum is σ = 143887380. Its totient is φ = 12192768.

The previous prime is 42787583. The next prime is 42787597. The reversal of 42787584 is 48578724.

It is not an unprimeable number, because it can be changed into a prime (42787583) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112707 + ... + 113085.

Almost surely, 2^42787584 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 42787584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71943690).

42787584 is an abundant number, since it is smaller than the sum of its proper divisors (101099796).

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

42787584 is a wasteful number, since it uses less digits than its factorization.

42787584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 391 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 42787584 is about 6541.2219042011. The cubic root of 42787584 is about 349.7619714913.

The spelling of 42787584 in words is "forty-two million, seven hundred eighty-seven thousand, five hundred eighty-four".