5813120 has 64 divisors (see below), whose sum is σ = 14394240. Its totient is φ = 2242560.

The previous prime is 5813077. The next prime is 5813123. The reversal of 5813120 is 213185.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 5813092 and 5813101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5813123) 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, 19694 + ... + 19986.

It is an arithmetic number, because the mean of its divisors is an integer number (224910).

Almost surely, 2^5813120 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 5813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197120).

5813120 is an abundant number, since it is smaller than the sum of its proper divisors (8581120).

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

5813120 is a wasteful number, since it uses less digits than its factorization.

5813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 5813120 is about 2411.0412688297. The cubic root of 5813120 is about 179.8055513354.

The spelling of 5813120 in words is "five million, eight hundred thirteen thousand, one hundred twenty".