83920 has 20 divisors (see below), whose sum is σ = 195300. Its totient is φ = 33536.

The previous prime is 83911. The next prime is 83921. The reversal of 83920 is 2938.

It can be written as a sum of positive squares in 2 ways, for example, as 55696 + 28224 = 236^2 + 168^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 83891 and 83900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83921) by changing a digit.

83920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 445 + ... + 604.

It is an arithmetic number, because the mean of its divisors is an integer number (9765).

2⁸³⁹²⁰ is an apocalyptic number.

83920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83920 is an abundant number, since it is smaller than the sum of its proper divisors (111380).

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 (97650).

83920 is a wasteful number, since it uses less digits than its factorization.

83920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 83920 is about 289.6894889360. The cubic root of 83920 is about 43.7812837475.

The spelling of 83920 in words is "eighty-three thousand, nine hundred twenty".