32960 has 28 divisors (see below), whose sum is σ = 79248. Its totient is φ = 13056.

The previous prime is 32957. The next prime is 32969. The reversal of 32960 is 6923.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32960.

It is not an unprimeable number, because it can be changed into a prime (32969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 269 + ... + 371.

2³²⁹⁶⁰ 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 32960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39624).

32960 is an abundant number, since it is smaller than the sum of its proper divisors (46288).

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

32960 is a wasteful number, since it uses less digits than its factorization.

32960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 32960 is about 181.5488914866. The cubic root of 32960 is about 32.0623783255.

The spelling of 32960 in words is "thirty-two thousand, nine hundred sixty".