83868 has 24 divisors (see below), whose sum is σ = 203280. Its totient is φ = 26880.

The previous prime is 83857. The next prime is 83869. The reversal of 83868 is 86838.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83869) by changing a digit.

83868 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228 + ... + 468.

It is an arithmetic number, because the mean of its divisors is an integer number (8470).

2⁸³⁸⁶⁸ 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 83868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101640).

83868 is an abundant number, since it is smaller than the sum of its proper divisors (119412).

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

83868 is a wasteful number, since it uses less digits than its factorization.

83868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 275 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 83868 is about 289.5997237568. The cubic root of 83868 is about 43.7722390337.

The spelling of 83868 in words is "eighty-three thousand, eight hundred sixty-eight".