5643120 has 80 divisors (see below), whose sum is σ = 19998720. Its totient is φ = 1289472.

The previous prime is 5643109. The next prime is 5643137. The reversal of 5643120 is 213465.

It is a happy number.

5643120 is a nontrivial binomial coefficient, being equal to C(3360, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1 + ... + 3359.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^5643120 is an apocalyptic number.

5643120 is the 3359-th triangular number and also the 1680-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5643120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999360).

5643120 is an abundant number, since it is smaller than the sum of its proper divisors (14355600).

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

5643120 is a wasteful number, since it uses less digits than its factorization.

5643120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5643120 is about 2375.5252050862. The cubic root of 5643120 is about 178.0354261854.

Adding to 5643120 its reverse (213465), we get a palindrome (5856585).

The spelling of 5643120 in words is "five million, six hundred forty-three thousand, one hundred twenty".