96800 has 54 divisors (see below), whose sum is σ = 259749. Its totient is φ = 35200.

The previous prime is 96799. The next prime is 96821. The reversal of 96800 is 869.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 94864 + 1936 = 308^2 + 44^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=220.

It is a Duffinian number.

It is an unprimeable number.

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 in 8 ways as a sum of consecutive naturals, for example, 8795 + ... + 8805.

2⁹⁶⁸⁰⁰ 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 96800

96800 is an abundant number, since it is smaller than the sum of its proper divisors (162949).

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

96800 is a wasteful number, since it uses less digits than its factorization.

96800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 96800 is about 311.1269837221. The cubic root of 96800 is about 45.9154084933.

The spelling of 96800 in words is "ninety-six thousand, eight hundred".