5186688 has 64 divisors (see below), whose sum is σ = 14851200. Its totient is φ = 1594368.

The previous prime is 5186681. The next prime is 5186689. The reversal of 5186688 is 8866815.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (5186681) 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, 4473 + ... + 5511.

It is an arithmetic number, because the mean of its divisors is an integer number (232050).

Almost surely, 2^5186688 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 5186688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7425600).

5186688 is an abundant number, since it is smaller than the sum of its proper divisors (9664512).

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

5186688 is a wasteful number, since it uses less digits than its factorization.

5186688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1057 counting only the distinct ones).

The product of its digits is 92160, while the sum is 42.

The square root of 5186688 is about 2277.4301306517. The cubic root of 5186688 is about 173.0998565926.

The spelling of 5186688 in words is "five million, one hundred eighty-six thousand, six hundred eighty-eight".