94944 has 48 divisors (see below), whose sum is σ = 266112. Its totient is φ = 29568.

The previous prime is 94933. The next prime is 94949. The reversal of 94944 is 44949.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94949) 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, 2187 + ... + 2229.

It is an arithmetic number, because the mean of its divisors is an integer number (5544).

2⁹⁴⁹⁴⁴ 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 94944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056).

94944 is an abundant number, since it is smaller than the sum of its proper divisors (171168).

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

94944 is a wasteful number, since it uses less digits than its factorization.

94944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 71 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 94944 is about 308.1298427611. The cubic root of 94944 is about 45.6200588882.

Adding to 94944 its product of digits (5184), we get a triangular number (100128 = T₄₄₇).

The spelling of 94944 in words is "ninety-four thousand, nine hundred forty-four".