50688 has 60 divisors (see below), whose sum is σ = 159588. Its totient is φ = 15360.

The previous prime is 50683. The next prime is 50707. The reversal of 50688 is 88605.

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50683) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4603 + ... + 4613.

2⁵⁰⁶⁸⁸ 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 50688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79794).

50688 is an abundant number, since it is smaller than the sum of its proper divisors (108900).

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

50688 is a wasteful number, since it uses less digits than its factorization.

50688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 50688 is about 225.1399564715. The cubic root of 50688 is about 37.0085200735.

The spelling of 50688 in words is "fifty thousand, six hundred eighty-eight".