94144960 has 224 divisors, whose sum is σ = 285731712. Its totient is φ = 28753920.

The previous prime is 94144951. The next prime is 94144993. The reversal of 94144960 is 6944149.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1543330 + ... + 1543390.

It is an arithmetic number, because the mean of its divisors is an integer number (1275588).

Almost surely, 2^94144960 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 94144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142865856).

94144960 is an abundant number, since it is smaller than the sum of its proper divisors (191586752).

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

94144960 is a wasteful number, since it uses less digits than its factorization.

94144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 94144960 is about 9702.8325761089. The cubic root of 94144960 is about 454.9172010507.

The spelling of 94144960 in words is "ninety-four million, one hundred forty-four thousand, nine hundred sixty".