963984 has 80 divisors (see below), whose sum is σ = 3015680. Its totient is φ = 259200.

The previous prime is 963979. The next prime is 964009. The reversal of 963984 is 489369.

963984 = T₃₀₉ + T₃₁₀ + ... + T₃₂₇.

963984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 963984.

It is an unprimeable number.

963984 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 15 ways as a sum of consecutive naturals, for example, 6309 + ... + 6459.

It is an arithmetic number, because the mean of its divisors is an integer number (37696).

2⁹⁶³⁹⁸⁴ 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 963984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507840).

963984 is an abundant number, since it is smaller than the sum of its proper divisors (2051696).

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

963984 is a wasteful number, since it uses less digits than its factorization.

963984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 182 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 963984 is about 981.8268686484. The cubic root of 963984 is about 98.7847583672.

The spelling of 963984 in words is "nine hundred sixty-three thousand, nine hundred eighty-four".