53688 has 16 divisors (see below), whose sum is σ = 134280. Its totient is φ = 17888.

The previous prime is 53681. The next prime is 53693. The reversal of 53688 is 88635.

53688 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1095 + ... + 1142.

2⁵³⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

53688 is an abundant number, since it is smaller than the sum of its proper divisors (80592).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67140).

53688 is a wasteful number, since it uses less digits than its factorization.

53688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2242 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 53688 is about 231.7067111674. The cubic root of 53688 is about 37.7246954080.

It can be divided in two parts, 53 and 688, that added together give a triangular number (741 = T₃₈).

The spelling of 53688 in words is "fifty-three thousand, six hundred eighty-eight".