966816 has 60 divisors (see below), whose sum is σ = 2851002. Its totient is φ = 321408.

The previous prime is 966803. The next prime is 966817. The reversal of 966816 is 618669.

It can be written as a sum of positive squares in only one way, i.e., 810000 + 156816 = 900^2 + 396^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (966817) by changing a digit.

966816 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 (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2406 + ... + 2778.

2⁹⁶⁶⁸¹⁶ is an apocalyptic number.

966816 is a gapful number since it is divisible by the number (96) 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 966816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425501).

966816 is an abundant number, since it is smaller than the sum of its proper divisors (1884186).

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

966816 is a wasteful number, since it uses less digits than its factorization.

966816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 378 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 966816 is about 983.2680204298. The cubic root of 966816 is about 98.8814006777.

The spelling of 966816 in words is "nine hundred sixty-six thousand, eight hundred sixteen".