5116320 has 288 divisors, whose sum is σ = 21228480. Its totient is φ = 1105920.

The previous prime is 5116297. The next prime is 5116361. The reversal of 5116320 is 236115.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5116293 and 5116302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269271 + ... + 269289.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

Almost surely, 2^5116320 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 5116320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614240).

5116320 is an abundant number, since it is smaller than the sum of its proper divisors (16112160).

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

5116320 is a wasteful number, since it uses less digits than its factorization.

5116320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5116320 is about 2261.9283808291. The cubic root of 5116320 is about 172.3134719738.

The spelling of 5116320 in words is "five million, one hundred sixteen thousand, three hundred twenty".