94800 has 60 divisors (see below), whose sum is σ = 307520. Its totient is φ = 24960.

The previous prime is 94793. The next prime is 94811. The reversal of 94800 is 849.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

94800 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 1161 + ... + 1239.

2⁹⁴⁸⁰⁰ 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 94800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153760).

94800 is an abundant number, since it is smaller than the sum of its proper divisors (212720).

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

94800 is a wasteful number, since it uses less digits than its factorization.

94800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 94800 is about 307.8960863668. The cubic root of 94800 is about 45.5969834877.

The spelling of 94800 in words is "ninety-four thousand, eight hundred".