320112 has 100 divisors (see below), whose sum is σ = 1050280. Its totient is φ = 93312.

The previous prime is 320107. The next prime is 320113. The reversal of 320112 is 211023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 320094 and 320103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320113) by changing a digit.

320112 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 19 ways as a sum of consecutive naturals, for example, 16839 + ... + 16857.

2³²⁰¹¹² 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 320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525140).

320112 is an abundant number, since it is smaller than the sum of its proper divisors (730168).

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

320112 is a wasteful number, since it uses less digits than its factorization.

320112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 320112 is about 565.7844112381. The cubic root of 320112 is about 68.4070168240.

Adding to 320112 its reverse (211023), we get a palindrome (531135).

The spelling of 320112 in words is "three hundred twenty thousand, one hundred twelve", and thus it is an iban number.