966304 has 12 divisors (see below), whose sum is σ = 1902474. Its totient is φ = 483136.

The previous prime is 966293. The next prime is 966307. The reversal of 966304 is 403669.

It can be written as a sum of positive squares in only one way, i.e., 898704 + 67600 = 948^2 + 260^2 .

It is not an unprimeable number, because it can be changed into a prime (966307) by changing a digit.

966304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15067 + ... + 15130.

2⁹⁶⁶³⁰⁴ is an apocalyptic number.

It is an amenable number.

966304 is a deficient number, since it is larger than the sum of its proper divisors (936170).

966304 is a wasteful number, since it uses less digits than its factorization.

966304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30207 (or 30199 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 966304 is about 983.0076296754. The cubic root of 966304 is about 98.8639426103.

It can be divided in two parts, 96 and 6304, that added together give a square (6400 = 80²).

The spelling of 966304 in words is "nine hundred sixty-six thousand, three hundred four".