33620 has 18 divisors (see below), whose sum is σ = 72366. Its totient is φ = 13120.

The previous prime is 33619. The next prime is 33623. The reversal of 33620 is 2633.

It can be written as a sum of positive squares in 3 ways, for example, as 1936 + 31684 = 44^2 + 178^2 .

It is a super-2 number, since 2×33620² = 2260608800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33595 and 33604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33623) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 800 + ... + 840.

2³³⁶²⁰ 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 33620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36183).

33620 is an abundant number, since it is smaller than the sum of its proper divisors (38746).

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

33620 is a wasteful number, since it uses less digits than its factorization.

33620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 33620 is about 183.3575741550. The cubic root of 33620 is about 32.2749741452.

The spelling of 33620 in words is "thirty-three thousand, six hundred twenty".