68320 has 48 divisors (see below), whose sum is σ = 187488. Its totient is φ = 23040.

The previous prime is 68311. The next prime is 68329. The reversal of 68320 is 2386.

68320 is nontrivially palindromic in base 3.

It is an interprime number because it is at equal distance from previous prime (68311) and next prime (68329).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68329) by changing a digit.

68320 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, 1090 + ... + 1150.

It is an arithmetic number, because the mean of its divisors is an integer number (3906).

2⁶⁸³²⁰ 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 68320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744).

68320 is an abundant number, since it is smaller than the sum of its proper divisors (119168).

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

68320 is a wasteful number, since it uses less digits than its factorization.

68320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 68320 is about 261.3809480433. The cubic root of 68320 is about 40.8804768104.

It can be divided in two parts, 683 and 20, that added together give a triangular number (703 = T₃₇).

The spelling of 68320 in words is "sixty-eight thousand, three hundred twenty".