33920 has 32 divisors (see below), whose sum is σ = 82620. Its totient is φ = 13312.

The previous prime is 33911. The next prime is 33923. The reversal of 33920 is 2933.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33856 + 64 = 184^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (33923) by changing a digit.

33920 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 (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 614 + ... + 666.

2³³⁹²⁰ 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 33920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41310).

33920 is an abundant number, since it is smaller than the sum of its proper divisors (48700).

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

33920 is an equidigital number, since it uses as much as digits as its factorization.

33920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 33920 is about 184.1738309315. The cubic root of 33920 is about 32.3706893383.

The spelling of 33920 in words is "thirty-three thousand, nine hundred twenty".