5113680 has 160 divisors (see below), whose sum is σ = 18748800. Its totient is φ = 1136640.

The previous prime is 5113649. The next prime is 5113681. The reversal of 5113680 is 863115.

It is a super-2 number, since 2×5113680² = 52299446284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5113680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5113681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34246 + ... + 34394.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

Almost surely, 2^5113680 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 5113680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374400).

5113680 is an abundant number, since it is smaller than the sum of its proper divisors (13635120).

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

5113680 is a wasteful number, since it uses less digits than its factorization.

5113680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 5113680 is about 2261.3447326757. The cubic root of 5113680 is about 172.2838291947.

Adding to 5113680 its reverse (863115), we get a palindrome (5976795).

It can be divided in two parts, 51 and 13680, that added together give a palindrome (13731).

The spelling of 5113680 in words is "five million, one hundred thirteen thousand, six hundred eighty".