5830320 has 80 divisors (see below), whose sum is σ = 19150560. Its totient is φ = 1462272.

The previous prime is 5830313. The next prime is 5830333. The reversal of 5830320 is 230385.

5830320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3366 + ... + 4794.

It is an arithmetic number, because the mean of its divisors is an integer number (239382).

Almost surely, 2^5830320 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 5830320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9575280).

5830320 is an abundant number, since it is smaller than the sum of its proper divisors (13320240).

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

5830320 is a wasteful number, since it uses less digits than its factorization.

5830320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5830320 is about 2414.6055578500. The cubic root of 5830320 is about 179.9827143895.

The spelling of 5830320 in words is "five million, eight hundred thirty thousand, three hundred twenty".