94966144 has 128 divisors (see below), whose sum is σ = 241274880. Its totient is φ = 36218880.

The previous prime is 94966139. The next prime is 94966153. The reversal of 94966144 is 44166949.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 94966144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360957 + ... + 361219.

It is an arithmetic number, because the mean of its divisors is an integer number (1884960).

Almost surely, 2^94966144 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 94966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120637440).

94966144 is an abundant number, since it is smaller than the sum of its proper divisors (146308736).

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

94966144 is a wasteful number, since it uses less digits than its factorization.

94966144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 316 counting only the distinct ones).

The product of its digits is 186624, while the sum is 43.

The square root of 94966144 is about 9745.0574138894. The cubic root of 94966144 is about 456.2360530171.

The spelling of 94966144 in words is "ninety-four million, nine hundred sixty-six thousand, one hundred forty-four".