83968 has 24 divisors (see below), whose sum is σ = 171990. Its totient is φ = 40960.

The previous prime is 83939. The next prime is 83969. The reversal of 83968 is 86938.

It can be written as a sum of positive squares in only one way, i.e., 82944 + 1024 = 288^2 + 32^2 .

It is not an unprimeable number, because it can be changed into a prime (83969) by changing a digit.

83968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2028 + ... + 2068.

2⁸³⁹⁶⁸ 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 83968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85995).

83968 is an abundant number, since it is smaller than the sum of its proper divisors (88022).

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

83968 is an equidigital number, since it uses as much as digits as its factorization.

83968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 43 counting only the distinct ones).

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

The square root of 83968 is about 289.7723244204. The cubic root of 83968 is about 43.7896293984.

The spelling of 83968 in words is "eighty-three thousand, nine hundred sixty-eight".