96680 has 16 divisors (see below), whose sum is σ = 217620. Its totient is φ = 38656.

The previous prime is 96671. The next prime is 96697. The reversal of 96680 is 8669.

It can be written as a sum of positive squares in 2 ways, for example, as 91204 + 5476 = 302^2 + 74^2 .

It is an unprimeable number.

96680 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 3 ways as a sum of consecutive naturals, for example, 1169 + ... + 1248.

2⁹⁶⁶⁸⁰ is an apocalyptic number.

It is an amenable number.

96680 is an abundant number, since it is smaller than the sum of its proper divisors (120940).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108810).

96680 is a wasteful number, since it uses less digits than its factorization.

96680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 96680 is about 310.9340766143. The cubic root of 96680 is about 45.8964273384.

The spelling of 96680 in words is "ninety-six thousand, six hundred eighty".