1830320 has 40 divisors (see below), whose sum is σ = 4312224. Its totient is φ = 722432.

The previous prime is 1830319. The next prime is 1830331. The reversal of 1830320 is 230381.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10877 + ... + 11043.

2^1830320 is an apocalyptic number.

1830320 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 1830320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156112).

1830320 is an abundant number, since it is smaller than the sum of its proper divisors (2481904).

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

1830320 is a wasteful number, since it uses less digits than its factorization.

1830320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1830320 is about 1352.8931960802. The cubic root of 1830320 is about 122.3232491908.

The spelling of 1830320 in words is "one million, eight hundred thirty thousand, three hundred twenty".