5631120 has 200 divisors, whose sum is σ = 21605760. Its totient is φ = 1347840.

The previous prime is 5631107. The next prime is 5631121. The reversal of 5631120 is 211365.

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 = 5631093 and 5631102.

It is not an unprimeable number, because it can be changed into a prime (5631121) 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 39 ways as a sum of consecutive naturals, for example, 71241 + ... + 71319.

Almost surely, 2^5631120 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 5631120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10802880).

5631120 is an abundant number, since it is smaller than the sum of its proper divisors (15974640).

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

5631120 is a wasteful number, since it uses less digits than its factorization.

5631120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5631120 is about 2372.9981036655. The cubic root of 5631120 is about 177.9091401792.

Adding to 5631120 its reverse (211365), we get a palindrome (5842485).

The spelling of 5631120 in words is "five million, six hundred thirty-one thousand, one hundred twenty".