93385320 has 128 divisors (see below), whose sum is σ = 323481600. Its totient is φ = 21125376.

The previous prime is 93385309. The next prime is 93385333. The reversal of 93385320 is 2358339.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89361 + ... + 90399.

It is an arithmetic number, because the mean of its divisors is an integer number (2527200).

Almost surely, 2^93385320 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 93385320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161740800).

93385320 is an abundant number, since it is smaller than the sum of its proper divisors (230096280).

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

93385320 is a wasteful number, since it uses less digits than its factorization.

93385320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 93385320 is about 9663.6080218519. The cubic root of 93385320 is about 453.6903449718.

The spelling of 93385320 in words is "ninety-three million, three hundred eighty-five thousand, three hundred twenty".