33560 has 16 divisors (see below), whose sum is σ = 75600. Its totient is φ = 13408.

The previous prime is 33547. The next prime is 33563. The reversal of 33560 is 6533.

It is a happy number.

It is a super-2 number, since 2×33560² = 2252547200, which contains 22 as substring.

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33563) by changing a digit.

33560 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 3 ways as a sum of consecutive naturals, for example, 380 + ... + 459.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

2³³⁵⁶⁰ is an apocalyptic number.

It is an amenable number.

33560 is an abundant number, since it is smaller than the sum of its proper divisors (42040).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37800).

33560 is a wasteful number, since it uses less digits than its factorization.

33560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 33560 is about 183.1938863609. The cubic root of 33560 is about 32.2557628465.

It can be divided in two parts, 335 and 60, that multiplied together give a triangular number (20100 = T₂₀₀).

The spelling of 33560 in words is "thirty-three thousand, five hundred sixty".