5117760 has 84 divisors (see below), whose sum is σ = 17612868. Its totient is φ = 1363968.

The previous prime is 5117747. The next prime is 5117773. The reversal of 5117760 is 677115.

It is an interprime number because it is at equal distance from previous prime (5117747) and next prime (5117773).

It can be written as a sum of positive squares in 2 ways, for example, as 2214144 + 2903616 = 1488^2 + 1704^2 .

It is a congruent number.

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, 1992 + ... + 3768.

It is an arithmetic number, because the mean of its divisors is an integer number (209677).

Almost surely, 2^5117760 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 5117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8806434).

5117760 is an abundant number, since it is smaller than the sum of its proper divisors (12495108).

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

5117760 is a wasteful number, since it uses less digits than its factorization.

5117760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 5117760 is about 2262.2466709004. The cubic root of 5117760 is about 172.3296364647.

The spelling of 5117760 in words is "five million, one hundred seventeen thousand, seven hundred sixty".