5531120 has 120 divisors (see below), whose sum is σ = 16030224. Its totient is φ = 1763328.

The previous prime is 5531117. The next prime is 5531129. The reversal of 5531120 is 211355.

5531120 = T₄₄₀ + T₄₄₁ + ... + T₄₉₀.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5531129) 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, 66599 + ... + 66681.

Almost surely, 2^5531120 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 5531120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8015112).

5531120 is an abundant number, since it is smaller than the sum of its proper divisors (10499104).

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

5531120 is a wasteful number, since it uses less digits than its factorization.

5531120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 5531120 is about 2351.8333274278. The cubic root of 5531120 is about 176.8497133666.

Adding to 5531120 its reverse (211355), we get a palindrome (5742475).

The spelling of 5531120 in words is "five million, five hundred thirty-one thousand, one hundred twenty".