963216 has 30 divisors (see below), whose sum is σ = 2696070. Its totient is φ = 321024.

The previous prime is 963211. The next prime is 963223. The reversal of 963216 is 612369.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 921600 + 41616 = 960^2 + 204^2 .

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 963216.

It is not an unprimeable number, because it can be changed into a prime (963211) by changing a digit.

963216 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 5 ways as a sum of consecutive naturals, for example, 3201 + ... + 3488.

It is an arithmetic number, because the mean of its divisors is an integer number (89869).

2⁹⁶³²¹⁶ is an apocalyptic number.

It is an amenable number.

963216 is an abundant number, since it is smaller than the sum of its proper divisors (1732854).

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

963216 is a wasteful number, since it uses less digits than its factorization.

963216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6703 (or 6694 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 963216 is about 981.4356830684. The cubic root of 963216 is about 98.7585176651.

The spelling of 963216 in words is "nine hundred sixty-three thousand, two hundred sixteen".