93944960 has 64 divisors (see below), whose sum is σ = 225919800. Its totient is φ = 37355520.

The previous prime is 93944959. The next prime is 93944969. The reversal of 93944960 is 6944939.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 93857344 + 87616 = 9688^2 + 296^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (93944969) 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, 146240 + ... + 146880.

Almost surely, 2^93944960 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 93944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112959900).

93944960 is an abundant number, since it is smaller than the sum of its proper divisors (131974840).

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

93944960 is a wasteful number, since it uses less digits than its factorization.

93944960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 44.

The square root of 93944960 is about 9692.5208279374. The cubic root of 93944960 is about 454.5948331326.

The spelling of 93944960 in words is "ninety-three million, nine hundred forty-four thousand, nine hundred sixty".