66336 has 24 divisors (see below), whose sum is σ = 174384. Its totient is φ = 22080.

The previous prime is 66301. The next prime is 66337. The reversal of 66336 is 63366.

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 nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (66337) by changing a digit.

66336 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, 250 + ... + 441.

It is an arithmetic number, because the mean of its divisors is an integer number (7266).

2⁶⁶³³⁶ is an apocalyptic number.

It is an amenable number.

66336 is an abundant number, since it is smaller than the sum of its proper divisors (108048).

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 (87192).

66336 is a wasteful number, since it uses less digits than its factorization.

66336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 696 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

The square root of 66336 is about 257.5577605121. The cubic root of 66336 is about 40.4808627769.

The spelling of 66336 in words is "sixty-six thousand, three hundred thirty-six".