35620 has 24 divisors (see below), whose sum is σ = 81144. Its totient is φ = 13056.

The previous prime is 35617. The next prime is 35671. The reversal of 35620 is 2653.

35620 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 4 ways, for example, as 1024 + 34596 = 32^2 + 186^2 .

It is a junction number, because it is equal to n+sod(n) for n = 35594 and 35603.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192 + ... + 328.

It is an arithmetic number, because the mean of its divisors is an integer number (3381).

2³⁵⁶²⁰ 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 35620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40572).

35620 is an abundant number, since it is smaller than the sum of its proper divisors (45524).

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

35620 is a wasteful number, since it uses less digits than its factorization.

35620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 35620 is about 188.7326150934. The cubic root of 35620 is about 32.9026823754.

The spelling of 35620 in words is "thirty-five thousand, six hundred twenty".