320820 has 24 divisors (see below), whose sum is σ = 898464. Its totient is φ = 85536.

The previous prime is 320791. The next prime is 320821. The reversal of 320820 is 28023.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 320820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2614 + ... + 2733.

It is an arithmetic number, because the mean of its divisors is an integer number (37436).

2³²⁰⁸²⁰ is an apocalyptic number.

320820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320820 is an abundant number, since it is smaller than the sum of its proper divisors (577644).

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

320820 is a wasteful number, since it uses less digits than its factorization.

320820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5359 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 320820 is about 566.4097456789. The cubic root of 320820 is about 68.4574122122.

Adding to 320820 its reverse (28023), we get a palindrome (348843).

The spelling of 320820 in words is "three hundred twenty thousand, eight hundred twenty".