5613600 has 72 divisors (see below), whose sum is σ = 18280080. Its totient is φ = 1496320.

The previous prime is 5613589. The next prime is 5613611. The reversal of 5613600 is 63165.

Added to its reverse (63165) it gives a triangular number (5676765 = T₃₃₆₉).

It is an interprime number because it is at equal distance from previous prime (5613589) and next prime (5613611).

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, 1231 + ... + 3569.

It is an arithmetic number, because the mean of its divisors is an integer number (253890).

Almost surely, 2^5613600 is an apocalyptic number.

5613600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5613600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9140040).

5613600 is an abundant number, since it is smaller than the sum of its proper divisors (12666480).

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

5613600 is a wasteful number, since it uses less digits than its factorization.

5613600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 5613600 is about 2369.3036951814. The cubic root of 5613600 is about 177.7244400175.

Adding to 5613600 its reverse (63165), we get a palindrome (5676765).

The spelling of 5613600 in words is "five million, six hundred thirteen thousand, six hundred".