5801120 has 48 divisors (see below), whose sum is σ = 14764680. Its totient is φ = 2141184.

The previous prime is 5801113. The next prime is 5801141. The reversal of 5801120 is 211085.

It can be written as a sum of positive squares in 4 ways, for example, as 3984016 + 1817104 = 1996^2 + 1348^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 686 + ... + 3474.

Almost surely, 2^5801120 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 5801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7382340).

5801120 is an abundant number, since it is smaller than the sum of its proper divisors (8963560).

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

5801120 is a wasteful number, since it uses less digits than its factorization.

5801120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 5801120 is about 2408.5514318777. The cubic root of 5801120 is about 179.6817421469.

The spelling of 5801120 in words is "five million, eight hundred one thousand, one hundred twenty".