35120 has 20 divisors (see below), whose sum is σ = 81840. Its totient is φ = 14016.

The previous prime is 35117. The next prime is 35129. The reversal of 35120 is 2153.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35129) by changing a digit.

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, 140 + ... + 299.

It is an arithmetic number, because the mean of its divisors is an integer number (4092).

2³⁵¹²⁰ is an apocalyptic number.

It is an amenable number.

35120 is an abundant number, since it is smaller than the sum of its proper divisors (46720).

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 (40920).

35120 is a wasteful number, since it uses less digits than its factorization.

35120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 35120 is about 187.4033084020. The cubic root of 35120 is about 32.7480040739.

Adding to 35120 its reverse (2153), we get a palindrome (37273).

The spelling of 35120 in words is "thirty-five thousand, one hundred twenty".