966306 has 24 divisors (see below), whose sum is σ = 2125872. Its totient is φ = 292820.

The previous prime is 966293. The next prime is 966307. The reversal of 966306 is 603669.

It is a nialpdrome in base 11.

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

966306 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 11 ways as a sum of consecutive naturals, for example, 87841 + ... + 87851.

It is an arithmetic number, because the mean of its divisors is an integer number (88578).

2⁹⁶⁶³⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062936).

966306 is an abundant number, since it is smaller than the sum of its proper divisors (1159566).

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

966306 is an frugal number, since it uses more digits than its factorization.

966306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 966306 is about 983.0086469610. The cubic root of 966306 is about 98.8640108178.

The spelling of 966306 in words is "nine hundred sixty-six thousand, three hundred six".