320970 has 32 divisors (see below), whose sum is σ = 830592. Its totient is φ = 78912.

The previous prime is 320953. The next prime is 321007. The reversal of 320970 is 79023.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 320970.

It is an unprimeable number.

320970 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 15 ways as a sum of consecutive naturals, for example, 22 + ... + 801.

It is an arithmetic number, because the mean of its divisors is an integer number (25956).

2³²⁰⁹⁷⁰ is an apocalyptic number.

320970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 320970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415296).

320970 is an abundant number, since it is smaller than the sum of its proper divisors (509622).

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

320970 is a wasteful number, since it uses less digits than its factorization.

320970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846.

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 320970 is about 566.5421431809. The cubic root of 320970 is about 68.4680796808.

Adding to 320970 its reverse (79023), we get a palindrome (399993).

The spelling of 320970 in words is "three hundred twenty thousand, nine hundred seventy".