65688 has 64 divisors (see below), whose sum is σ = 207360. Its totient is φ = 16896.

The previous prime is 65687. The next prime is 65699. The reversal of 65688 is 88656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65687) 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, 2845 + ... + 2867.

It is an arithmetic number, because the mean of its divisors is an integer number (3240).

2⁶⁵⁶⁸⁸ is an apocalyptic number.

65688 is a gapful number since it is divisible by the number (68) 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 65688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680).

65688 is an abundant number, since it is smaller than the sum of its proper divisors (141672).

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

65688 is a wasteful number, since it uses less digits than its factorization.

65688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 52 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 65688 is about 256.2967030611. The cubic root of 65688 is about 40.3486194516.

The spelling of 65688 in words is "sixty-five thousand, six hundred eighty-eight".