32461056 has 108 divisors (see below), whose sum is σ = 95366908. Its totient is φ = 10616832.

The previous prime is 32461019. The next prime is 32461057. The reversal of 32461056 is 65016423.

It can be written as a sum of positive squares in 2 ways, for example, as 12960000 + 19501056 = 3600^2 + 4416^2 .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32461057) 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 11 ways as a sum of consecutive naturals, for example, 168096 + ... + 168288.

Almost surely, 2^32461056 is an apocalyptic number.

32461056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32461056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47683454).

32461056 is an abundant number, since it is smaller than the sum of its proper divisors (62905852).

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

32461056 is a wasteful number, since it uses less digits than its factorization.

32461056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 32461056 is about 5697.4604869187. The cubic root of 32461056 is about 318.9976972020.

Adding to 32461056 its reverse (65016423), we get a palindrome (97477479).

The spelling of 32461056 in words is "thirty-two million, four hundred sixty-one thousand, fifty-six".