963312 has 80 divisors (see below), whose sum is σ = 2952192. Its totient is φ = 264960.

The previous prime is 963311. The next prime is 963323. The reversal of 963312 is 213369.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963311) by changing a digit.

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 in 15 ways as a sum of consecutive naturals, for example, 15762 + ... + 15822.

2⁹⁶³³¹² 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 963312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476096).

963312 is an abundant number, since it is smaller than the sum of its proper divisors (1988880).

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

963312 is a wasteful number, since it uses less digits than its factorization.

963312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

The square root of 963312 is about 981.4845897924. The cubic root of 963312 is about 98.7617985155.

It can be divided in two parts, 963 and 312, that added together give a triangular number (1275 = T₅₀).

The spelling of 963312 in words is "nine hundred sixty-three thousand, three hundred twelve".