32648832 has 160 divisors (see below), whose sum is σ = 100710720. Its totient is φ = 10492416.

The previous prime is 32648807. The next prime is 32648839. The reversal of 32648832 is 23884623.

32648832 is a `hidden beast` number, since 3 + 2 + 648 + 8 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (32648839) 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 19 ways as a sum of consecutive naturals, for example, 487263 + ... + 487329.

It is an arithmetic number, because the mean of its divisors is an integer number (629442).

Almost surely, 2^32648832 is an apocalyptic number.

32648832 is a gapful number since it is divisible by the number (32) 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 32648832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50355360).

32648832 is an abundant number, since it is smaller than the sum of its proper divisors (68061888).

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

32648832 is an equidigital number, since it uses as much as digits as its factorization.

32648832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 32648832 is about 5713.9156451596. The cubic root of 32648832 is about 319.6116121330.

The spelling of 32648832 in words is "thirty-two million, six hundred forty-eight thousand, eight hundred thirty-two".