35920 has 20 divisors (see below), whose sum is σ = 83700. Its totient is φ = 14336.

The previous prime is 35911. The next prime is 35923. The reversal of 35920 is 2953.

35920 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 17424 + 18496 = 132^2 + 136^2 .

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 (35923) 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, 145 + ... + 304.

It is an arithmetic number, because the mean of its divisors is an integer number (4185).

2³⁵⁹²⁰ is an apocalyptic number.

It is an amenable number.

35920 is an abundant number, since it is smaller than the sum of its proper divisors (47780).

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 (41850).

35920 is a wasteful number, since it uses less digits than its factorization.

35920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 35920 is about 189.5257238477. The cubic root of 35920 is about 32.9947956286.

The spelling of 35920 in words is "thirty-five thousand, nine hundred twenty".