5613120 has 84 divisors (see below), whose sum is σ = 19316700. Its totient is φ = 1496064.

The previous prime is 5613109. The next prime is 5613161. The reversal of 5613120 is 213165.

It can be written as a sum of positive squares in 2 ways, for example, as 3326976 + 2286144 = 1824^2 + 1512^2 .

It is a super-2 number, since 2×5613120² = 63014232268800, which contains 22 as substring.

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 = 5613093 and 5613102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1906 + ... + 3854.

Almost surely, 2^5613120 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 5613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9658350).

5613120 is an abundant number, since it is smaller than the sum of its proper divisors (13703580).

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

5613120 is a wasteful number, since it uses less digits than its factorization.

5613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1959 counting only the distinct ones).

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

The square root of 5613120 is about 2369.2023974325. The cubic root of 5613120 is about 177.7193743340.

Adding to 5613120 its reverse (213165), we get a palindrome (5826285).

The spelling of 5613120 in words is "five million, six hundred thirteen thousand, one hundred twenty".