5306688 has 112 divisors (see below), whose sum is σ = 16215360. Its totient is φ = 1700352.

The previous prime is 5306683. The next prime is 5306689. The reversal of 5306688 is 8866035.

5306688 is nontrivially palindromic in base 11.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5306683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63895 + ... + 63977.

It is an arithmetic number, because the mean of its divisors is an integer number (144780).

Almost surely, 2^5306688 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 5306688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8107680).

5306688 is an abundant number, since it is smaller than the sum of its proper divisors (10908672).

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

5306688 is a wasteful number, since it uses less digits than its factorization.

5306688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5306688 is about 2303.6249694775. The cubic root of 5306688 is about 174.4246465181.

The spelling of 5306688 in words is "five million, three hundred six thousand, six hundred eighty-eight".