5006760 has 64 divisors (see below), whose sum is σ = 16390080. Its totient is φ = 1213440.

The previous prime is 5006753. The next prime is 5006761. The reversal of 5006760 is 676005.

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 5006760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577 + ... + 3216.

It is an arithmetic number, because the mean of its divisors is an integer number (256095).

Almost surely, 2^5006760 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 5006760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8195040).

5006760 is an abundant number, since it is smaller than the sum of its proper divisors (11383320).

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

5006760 is a wasteful number, since it uses less digits than its factorization.

5006760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3818 (or 3814 counting only the distinct ones).

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

The square root of 5006760 is about 2237.5790488830. The cubic root of 5006760 is about 171.0746228800.

It can be divided in two parts, 500 and 6760, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 5006760 in words is "five million, six thousand, seven hundred sixty".