963664 has 40 divisors (see below), whose sum is σ = 2077992. Its totient is φ = 430080.

The previous prime is 963659. The next prime is 963667. The reversal of 963664 is 466369.

It can be written as a sum of positive squares in 4 ways, for example, as 153664 + 810000 = 392^2 + 900^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8472 + ... + 8584.

2⁹⁶³⁶⁶⁴ 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 963664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038996).

963664 is an abundant number, since it is smaller than the sum of its proper divisors (1114328).

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

963664 is a wasteful number, since it uses less digits than its factorization.

963664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its digits is 23328, while the sum is 34.

The square root of 963664 is about 981.6638936011. The cubic root of 963664 is about 98.7738264357.

The spelling of 963664 in words is "nine hundred sixty-three thousand, six hundred sixty-four".