5106816 has 192 divisors, whose sum is σ = 17821440. Its totient is φ = 1382400.

The previous prime is 5106793. The next prime is 5106821. The reversal of 5106816 is 6186015.

5106816 = 36³ + 37³ + ... + 68³.

5106816 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 5106816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164721 + ... + 164751.

It is an arithmetic number, because the mean of its divisors is an integer number (92820).

Almost surely, 2^5106816 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 5106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8910720).

5106816 is an abundant number, since it is smaller than the sum of its proper divisors (12714624).

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

5106816 is a wasteful number, since it uses less digits than its factorization.

5106816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5106816 is about 2259.8265420160. The cubic root of 5106816 is about 172.2067101919.

The spelling of 5106816 in words is "five million, one hundred six thousand, eight hundred sixteen".