33960 has 32 divisors (see below), whose sum is σ = 102240. Its totient is φ = 9024.

The previous prime is 33941. The next prime is 33961. The reversal of 33960 is 6933.

It is not an unprimeable number, because it can be changed into a prime (33961) by changing a digit.

33960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22 + ... + 261.

It is an arithmetic number, because the mean of its divisors is an integer number (3195).

2³³⁹⁶⁰ is an apocalyptic number.

33960 is a gapful number since it is divisible by the number (30) 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 33960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51120).

33960 is an abundant number, since it is smaller than the sum of its proper divisors (68280).

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

33960 is a wasteful number, since it uses less digits than its factorization.

33960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 33960 is about 184.2823919966. The cubic root of 33960 is about 32.3834086674.

The spelling of 33960 in words is "thirty-three thousand, nine hundred sixty".