5111760 has 120 divisors (see below), whose sum is σ = 17007840. Its totient is φ = 1269504.

The previous prime is 5111759. The next prime is 5111761. The reversal of 5111760 is 671115.

It is an interprime number because it is at equal distance from previous prime (5111759) and next prime (5111761).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×5111760² = 52260180595200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5111761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86611 + ... + 86669.

It is an arithmetic number, because the mean of its divisors is an integer number (141732).

Almost surely, 2^5111760 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 5111760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8503920).

5111760 is an abundant number, since it is smaller than the sum of its proper divisors (11896080).

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

5111760 is a wasteful number, since it uses less digits than its factorization.

5111760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 5111760 is about 2260.9201666578. The cubic root of 5111760 is about 172.2622644011.

Adding to 5111760 its reverse (671115), we get a palindrome (5782875).

It can be divided in two parts, 51 and 11760, that added together give a palindrome (11811).

The spelling of 5111760 in words is "five million, one hundred eleven thousand, seven hundred sixty".