93385968 has 80 divisors (see below), whose sum is σ = 262379040. Its totient is φ = 28449792.

The previous prime is 93385961. The next prime is 93385973. The reversal of 93385968 is 86958339.

It is a self number, because there is not a number n which added to its sum of digits gives 93385968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93385961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67330 + ... + 68702.

It is an arithmetic number, because the mean of its divisors is an integer number (3279738).

Almost surely, 2^93385968 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 93385968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131189520).

93385968 is an abundant number, since it is smaller than the sum of its proper divisors (168993072).

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

93385968 is a wasteful number, since it uses less digits than its factorization.

93385968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1500 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 93385968 is about 9663.6415496437. The cubic root of 93385968 is about 453.6913943540.

The spelling of 93385968 in words is "ninety-three million, three hundred eighty-five thousand, nine hundred sixty-eight".