5811120 has 120 divisors (see below), whose sum is σ = 22322976. Its totient is φ = 1327104.

The previous prime is 5811119. The next prime is 5811121. The reversal of 5811120 is 211185.

It is an interprime number because it is at equal distance from previous prime (5811119) and next prime (5811121).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5811093 and 5811102.

It is not an unprimeable number, because it can be changed into a prime (5811121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4464 + ... + 5616.

Almost surely, 2^5811120 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 5811120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11161488).

5811120 is an abundant number, since it is smaller than the sum of its proper divisors (16511856).

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

5811120 is a wasteful number, since it uses less digits than its factorization.

5811120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 5811120 is about 2410.6264745912. The cubic root of 5811120 is about 179.7849283107.

The spelling of 5811120 in words is "five million, eight hundred eleven thousand, one hundred twenty".