5123760 has 80 divisors (see below), whose sum is σ = 16341216. Its totient is φ = 1327104.

The previous prime is 5123753. The next prime is 5123761. The reversal of 5123760 is 673215.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5123760.

It is not an unprimeable number, because it can be changed into a prime (5123761) 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 15 ways as a sum of consecutive naturals, for example, 8592 + ... + 9168.

Almost surely, 2^5123760 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 5123760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8170608).

5123760 is an abundant number, since it is smaller than the sum of its proper divisors (11217456).

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

5123760 is a wasteful number, since it uses less digits than its factorization.

5123760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 5123760 is about 2263.5723977819. The cubic root of 5123760 is about 172.3969558914.

Adding to 5123760 its reverse (673215), we get a palindrome (5796975).

The spelling of 5123760 in words is "five million, one hundred twenty-three thousand, seven hundred sixty".