41032832 has 64 divisors (see below), whose sum is σ = 87852600. Its totient is φ = 19021824.

The previous prime is 41032819. The next prime is 41032853. The reversal of 41032832 is 23823014.

It can be written as a sum of positive squares in 4 ways, for example, as 40653376 + 379456 = 6376^2 + 616^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 41032798 and 41032807.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237098 + ... + 237270.

Almost surely, 2^41032832 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 41032832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43926300).

41032832 is an abundant number, since it is smaller than the sum of its proper divisors (46819768).

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

41032832 is a wasteful number, since it uses less digits than its factorization.

41032832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 41032832 is about 6405.6874728635. The cubic root of 41032832 is about 344.9137416501.

Adding to 41032832 its reverse (23823014), we get a palindrome (64855846).

The spelling of 41032832 in words is "forty-one million, thirty-two thousand, eight hundred thirty-two".