5830880 has 48 divisors (see below), whose sum is σ = 15032304. Its totient is φ = 2119680.

The previous prime is 5830879. The next prime is 5830907. The reversal of 5830880 is 880385.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104 + ... + 3416.

It is an arithmetic number, because the mean of its divisors is an integer number (313173).

Almost surely, 2^5830880 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 5830880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7516152).

5830880 is an abundant number, since it is smaller than the sum of its proper divisors (9201424).

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

5830880 is a wasteful number, since it uses less digits than its factorization.

5830880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339 (or 3331 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 5830880 is about 2414.7215160345. The cubic root of 5830880 is about 179.9884766286.

The spelling of 5830880 in words is "five million, eight hundred thirty thousand, eight hundred eighty".