66304 has 36 divisors (see below), whose sum is σ = 155344. Its totient is φ = 27648.

The previous prime is 66301. The next prime is 66337. The reversal of 66304 is 40366.

It is a happy number.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (66301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1774 + ... + 1810.

2⁶⁶³⁰⁴ is an apocalyptic number.

66304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77672).

66304 is an abundant number, since it is smaller than the sum of its proper divisors (89040).

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

66304 is an equidigital number, since it uses as much as digits as its factorization.

66304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 66304 is about 257.4956310309. The cubic root of 66304 is about 40.4743525062.

The spelling of 66304 in words is "sixty-six thousand, three hundred four".