963648 has 84 divisors (see below), whose sum is σ = 3169920. Its totient is φ = 274176.

The previous prime is 963643. The next prime is 963653. The reversal of 963648 is 846369.

963648 is a `hidden beast` number, since 9 + 6 + 3 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (963643) and next prime (963653).

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (963643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3913 + ... + 4151.

2⁹⁶³⁶⁴⁸ 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 963648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584960).

963648 is an abundant number, since it is smaller than the sum of its proper divisors (2206272).

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

963648 is a wasteful number, since it uses less digits than its factorization.

963648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 963648 is about 981.6557441384. The cubic root of 963648 is about 98.7732797756.

The spelling of 963648 in words is "nine hundred sixty-three thousand, six hundred forty-eight".