963680 has 48 divisors (see below), whose sum is σ = 2404080. Its totient is φ = 364032.

The previous prime is 963667. The next prime is 963689. The reversal of 963680 is 86369.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963689) 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, 2882 + ... + 3198.

It is an arithmetic number, because the mean of its divisors is an integer number (50085).

2⁹⁶³⁶⁸⁰ 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 963680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202040).

963680 is an abundant number, since it is smaller than the sum of its proper divisors (1440400).

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

963680 is a wasteful number, since it uses less digits than its factorization.

963680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 963680 is about 981.6720429960. The cubic root of 963680 is about 98.7743730897.

The spelling of 963680 in words is "nine hundred sixty-three thousand, six hundred eighty".