96064 has 28 divisors (see below), whose sum is σ = 203200. Its totient is φ = 44928.

The previous prime is 96059. The next prime is 96079. The reversal of 96064 is 46069.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

96064 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 3 ways as a sum of consecutive naturals, for example, 1177 + ... + 1255.

2⁹⁶⁰⁶⁴ 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 96064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101600).

96064 is an abundant number, since it is smaller than the sum of its proper divisors (107136).

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

96064 is a wasteful number, since it uses less digits than its factorization.

96064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 96064 is about 309.9419300450. The cubic root of 96064 is about 45.7987426795.

It can be divided in two parts, 960 and 64, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 96064 in words is "ninety-six thousand, sixty-four".