93480960 has 192 divisors, whose sum is σ = 318427200. Its totient is φ = 23330816.

The previous prime is 93480917. The next prime is 93480967. The reversal of 93480960 is 6908439.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (93480967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522151 + ... + 522329.

It is an arithmetic number, because the mean of its divisors is an integer number (1658475).

Almost surely, 2^93480960 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 93480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159213600).

93480960 is an abundant number, since it is smaller than the sum of its proper divisors (224946240).

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

93480960 is a wasteful number, since it uses less digits than its factorization.

93480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 93480960 is about 9668.5552178182. Note that the first 3 decimals coincide. The cubic root of 93480960 is about 453.8451735186.

The spelling of 93480960 in words is "ninety-three million, four hundred eighty thousand, nine hundred sixty".