41589936 has 120 divisors (see below), whose sum is σ = 127283520. Its totient is φ = 13110336.

The previous prime is 41589929. The next prime is 41589943. The reversal of 41589936 is 63998514.

It is a happy number.

41589936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41589929) and next prime (41589943).

It is a junction number, because it is equal to n+sod(n) for n = 41589891 and 41589900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73591 + ... + 74153.

It is an arithmetic number, because the mean of its divisors is an integer number (1060696).

Almost surely, 2^41589936 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 41589936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63641760).

41589936 is an abundant number, since it is smaller than the sum of its proper divisors (85693584).

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

41589936 is a wasteful number, since it uses less digits than its factorization.

41589936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 587 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 41589936 is about 6449.0259729668. The cubic root of 41589936 is about 346.4676981188.

The spelling of 41589936 in words is "forty-one million, five hundred eighty-nine thousand, nine hundred thirty-six".