65920 has 32 divisors (see below), whose sum is σ = 159120. Its totient is φ = 26112.

The previous prime is 65899. The next prime is 65921. The reversal of 65920 is 2956.

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

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 65891 and 65900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65921) by changing a digit.

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, 589 + ... + 691.

2⁶⁵⁹²⁰ 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 65920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79560).

65920 is an abundant number, since it is smaller than the sum of its proper divisors (93200).

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

65920 is a wasteful number, since it uses less digits than its factorization.

65920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 65920 is about 256.7489045741. The cubic root of 65920 is about 40.3960653620.

The spelling of 65920 in words is "sixty-five thousand, nine hundred twenty".