966656 has 30 divisors (see below), whose sum is σ = 1966020. Its totient is φ = 475136.

The previous prime is 966653. The next prime is 966659. The reversal of 966656 is 656669.

It is an interprime number because it is at equal distance from previous prime (966653) and next prime (966659).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 966656.

It is not an unprimeable number, because it can be changed into a prime (966653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16355 + ... + 16413.

It is an arithmetic number, because the mean of its divisors is an integer number (65534).

2⁹⁶⁶⁶⁵⁶ 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 966656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983010).

966656 is an abundant number, since it is smaller than the sum of its proper divisors (999364).

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

966656 is an frugal number, since it uses more digits than its factorization.

966656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 61 counting only the distinct ones).

The product of its digits is 58320, while the sum is 38.

The square root of 966656 is about 983.1866557272. The cubic root of 966656 is about 98.8759456939.

The spelling of 966656 in words is "nine hundred sixty-six thousand, six hundred fifty-six".