5116896 has 72 divisors (see below), whose sum is σ = 14774760. Its totient is φ = 1679616.

The previous prime is 5116889. The next prime is 5116897. The reversal of 5116896 is 6986115.

5116896 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

Its product of digits (12960) is a multiple of the sum of its prime factors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 5116896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5116897) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31311 + ... + 31473.

It is an arithmetic number, because the mean of its divisors is an integer number (205205).

Almost surely, 2^5116896 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 5116896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7387380).

5116896 is an abundant number, since it is smaller than the sum of its proper divisors (9657864).

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

5116896 is a wasteful number, since it uses less digits than its factorization.

5116896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 277 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 5116896 is about 2262.0557022319. The cubic root of 5116896 is about 172.3199381341.

The spelling of 5116896 in words is "five million, one hundred sixteen thousand, eight hundred ninety-six".