41688 has 32 divisors (see below), whose sum is σ = 116400. Its totient is φ = 13824.

The previous prime is 41687. The next prime is 41719. The reversal of 41688 is 88614.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 14.

It is a nialpdrome in base 6 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120 + ... + 312.

2⁴¹⁶⁸⁸ 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 41688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58200).

41688 is an abundant number, since it is smaller than the sum of its proper divisors (74712).

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

41688 is a wasteful number, since it uses less digits than its factorization.

41688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 198 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 41688 is about 204.1763943261. The cubic root of 41688 is about 34.6739793909.

It can be divided in two parts, 41 and 688, that added together give a 6-th power (729 = 3⁶).

The spelling of 41688 in words is "forty-one thousand, six hundred eighty-eight".