5117688 has 128 divisors (see below), whose sum is σ = 15840000. Its totient is φ = 1524096.

The previous prime is 5117687. The next prime is 5117701. The reversal of 5117688 is 8867115.

5117688 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (13440) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5117687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118995 + ... + 119037.

It is an arithmetic number, because the mean of its divisors is an integer number (123750).

Almost surely, 2^5117688 is an apocalyptic number.

5117688 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5117688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7920000).

5117688 is an abundant number, since it is smaller than the sum of its proper divisors (10722312).

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

5117688 is a wasteful number, since it uses less digits than its factorization.

5117688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 96 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

The square root of 5117688 is about 2262.2307574604. The cubic root of 5117688 is about 172.3288283122.

The spelling of 5117688 in words is "five million, one hundred seventeen thousand, six hundred eighty-eight".