5116160 has 72 divisors (see below), whose sum is σ = 14030016. Its totient is φ = 1751040.

The previous prime is 5116141. The next prime is 5116169. The reversal of 5116160 is 616115.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (5116169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8675 + ... + 9245.

Almost surely, 2^5116160 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 5116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7015008).

5116160 is an abundant number, since it is smaller than the sum of its proper divisors (8913856).

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

5116160 is an equidigital number, since it uses as much as digits as its factorization.

5116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 5116160 is about 2261.8930125008. The cubic root of 5116160 is about 172.3116757321.

It can be divided in two parts, 5116 and 160, that multiplied together give a triangular number (818560 = T₁₂₇₉).

The spelling of 5116160 in words is "five million, one hundred sixteen thousand, one hundred sixty".