42585536 has 56 divisors (see below), whose sum is σ = 101681280. Its totient is φ = 17286912.

The previous prime is 42585533. The next prime is 42585547. The reversal of 42585536 is 63558524.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 42585536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42585533) 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 7 ways as a sum of consecutive naturals, for example, 6011 + ... + 11013.

Almost surely, 2^42585536 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 42585536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50840640).

42585536 is an abundant number, since it is smaller than the sum of its proper divisors (59095744).

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

42585536 is a wasteful number, since it uses less digits than its factorization.

42585536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041 (or 5031 counting only the distinct ones).

The product of its digits is 144000, while the sum is 38.

The square root of 42585536 is about 6525.7594194086. The cubic root of 42585536 is about 349.2105635963.

The spelling of 42585536 in words is "forty-two million, five hundred eighty-five thousand, five hundred thirty-six".