42605536 has 48 divisors (see below), whose sum is σ = 89449920. Its totient is φ = 19975680.

The previous prime is 42605533. The next prime is 42605551. The reversal of 42605536 is 63550624.

It is a junction number, because it is equal to n+sod(n) for n = 42605498 and 42605507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42605531) 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, 157081 + ... + 157351.

It is an arithmetic number, because the mean of its divisors is an integer number (1863540).

Almost surely, 2^42605536 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 42605536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44724960).

42605536 is an abundant number, since it is smaller than the sum of its proper divisors (46844384).

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

42605536 is an equidigital number, since it uses as much as digits as its factorization.

42605536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 42605536 is about 6527.2916282330. The cubic root of 42605536 is about 349.2652231424.

The spelling of 42605536 in words is "forty-two million, six hundred five thousand, five hundred thirty-six".