32832640 has 96 divisors (see below), whose sum is σ = 82623060. Its totient is φ = 12472320.

The previous prime is 32832623. The next prime is 32832643. The reversal of 32832640 is 4623823.

It can be written as a sum of positive squares in 6 ways, for example, as 5875776 + 26956864 = 2424^2 + 5192^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32832599 and 32832608.

It is not an unprimeable number, because it can be changed into a prime (32832643) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 538210 + ... + 538270.

Almost surely, 2^32832640 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 32832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41311530).

32832640 is an abundant number, since it is smaller than the sum of its proper divisors (49790420).

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

32832640 is an equidigital number, since it uses as much as digits as its factorization.

32832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 32832640 is about 5729.9773123460. The cubic root of 32832640 is about 320.2102784582.

The spelling of 32832640 in words is "thirty-two million, eight hundred thirty-two thousand, six hundred forty".