1800320 has 64 divisors (see below), whose sum is σ = 4498200. Its totient is φ = 688128.

The previous prime is 1800313. The next prime is 1800341. The reversal of 1800320 is 230081.

It can be written as a sum of positive squares in 4 ways, for example, as 1420864 + 379456 = 1192^2 + 616^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1800295 and 1800304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18512 + ... + 18608.

2^1800320 is an apocalyptic number.

1800320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249100).

1800320 is an abundant number, since it is smaller than the sum of its proper divisors (2697880).

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

1800320 is an equidigital number, since it uses as much as digits as its factorization.

1800320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1800320 is about 1341.7600381588. The cubic root of 1800320 is about 121.6512480200.

The spelling of 1800320 in words is "one million, eight hundred thousand, three hundred twenty".