963584 has 22 divisors (see below), whose sum is σ = 1928274. Its totient is φ = 481280.

The previous prime is 963581. The next prime is 963601. The reversal of 963584 is 485369.

It can be written as a sum of positive squares in only one way, i.e., 861184 + 102400 = 928^2 + 320^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963581) by changing a digit.

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 as a sum of consecutive naturals, namely, 554 + ... + 1494.

2⁹⁶³⁵⁸⁴ 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 963584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964137).

963584 is an abundant number, since it is smaller than the sum of its proper divisors (964690).

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

963584 is an equidigital number, since it uses as much as digits as its factorization.

963584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 943 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 963584 is about 981.6231456114. The cubic root of 963584 is about 98.7710930747.

The spelling of 963584 in words is "nine hundred sixty-three thousand, five hundred eighty-four".