116064 has 72 divisors (see below), whose sum is σ = 366912. Its totient is φ = 34560.

The previous prime is 116047. The next prime is 116089. The reversal of 116064 is 460611.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3729 + ... + 3759.

It is an arithmetic number, because the mean of its divisors is an integer number (5096).

2¹¹⁶⁰⁶⁴ 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 116064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183456).

116064 is an abundant number, since it is smaller than the sum of its proper divisors (250848).

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

116064 is a wasteful number, since it uses less digits than its factorization.

116064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 116064 is about 340.6816695979. The cubic root of 116064 is about 48.7789571552.

Adding to 116064 its reverse (460611), we get a palindrome (576675).

The spelling of 116064 in words is "one hundred sixteen thousand, sixty-four".