68064 has 24 divisors (see below), whose sum is σ = 178920. Its totient is φ = 22656.

The previous prime is 68059. The next prime is 68071. The reversal of 68064 is 46086.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 259 + ... + 450.

It is an arithmetic number, because the mean of its divisors is an integer number (7455).

2⁶⁸⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

68064 is an abundant number, since it is smaller than the sum of its proper divisors (110856).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89460).

68064 is a wasteful number, since it uses less digits than its factorization.

68064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 68064 is about 260.8907817459. The cubic root of 68064 is about 40.8293521964.

It can be divided in two parts, 6 and 8064, that multiplied together give a palindrome (48384).

The spelling of 68064 in words is "sixty-eight thousand, sixty-four".