96896 has 16 divisors (see below), whose sum is σ = 193290. Its totient is φ = 48384.

The previous prime is 96893. The next prime is 96907. The reversal of 96896 is 69869.

It can be written as a sum of positive squares in only one way, i.e., 78400 + 18496 = 280^2 + 136^2 .

It is a tau number, because it is divible by the number of its divisors (16).

96896 is a strobogrammatic number because it is the same when read upside-down.

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (96893) 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, 251 + ... + 506.

2⁹⁶⁸⁹⁶ is an apocalyptic number.

It is an amenable number.

96896 is a deficient number, since it is larger than the sum of its proper divisors (96394).

96896 is an equidigital number, since it uses as much as digits as its factorization.

96896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 759 counting only the distinct ones).

The product of its digits is 23328, while the sum is 38.

The square root of 96896 is about 311.2812233335. The cubic root of 96896 is about 45.9305821258.

The spelling of 96896 in words is "ninety-six thousand, eight hundred ninety-six".