93688 has 24 divisors (see below), whose sum is σ = 205200. Its totient is φ = 39984.

The previous prime is 93683. The next prime is 93701. The reversal of 93688 is 88639.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 273 + ... + 511.

It is an arithmetic number, because the mean of its divisors is an integer number (8550).

2⁹³⁶⁸⁸ is an apocalyptic number.

93688 is a gapful number since it is divisible by the number (98) 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 93688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102600).

93688 is an abundant number, since it is smaller than the sum of its proper divisors (111512).

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

93688 is a wasteful number, since it uses less digits than its factorization.

93688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 248 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 93688 is about 306.0849555271. The cubic root of 93688 is about 45.4179982589.

It can be divided in two parts, 936 and 88, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 93688 in words is "ninety-three thousand, six hundred eighty-eight".