32705960 has 64 divisors (see below), whose sum is σ = 89061120. Its totient is φ = 10552320.

The previous prime is 32705917. The next prime is 32705963. The reversal of 32705960 is 6950723.

It is not an unprimeable number, because it can be changed into a prime (32705963) 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 15 ways as a sum of consecutive naturals, for example, 1325 + ... + 8195.

It is an arithmetic number, because the mean of its divisors is an integer number (1391580).

Almost surely, 2^32705960 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 32705960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44530560).

32705960 is an abundant number, since it is smaller than the sum of its proper divisors (56355160).

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

32705960 is a wasteful number, since it uses less digits than its factorization.

32705960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6906 (or 6902 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 32705960 is about 5718.9124840305. The cubic root of 32705960 is about 319.7979192874.

The spelling of 32705960 in words is "thirty-two million, seven hundred five thousand, nine hundred sixty".