93384416 has 48 divisors (see below), whose sum is σ = 193179168. Its totient is φ = 44352000.

The previous prime is 93384413. The next prime is 93384419. The reversal of 93384416 is 61448339.

It is an interprime number because it is at equal distance from previous prime (93384413) and next prime (93384419).

It is a super-2 number, since 2×93384416² = 17441298303322112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 93384416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93384413) 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 7 ways as a sum of consecutive naturals, for example, 132866 + ... + 133566.

It is an arithmetic number, because the mean of its divisors is an integer number (4024566).

Almost surely, 2^93384416 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 93384416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96589584).

93384416 is an abundant number, since it is smaller than the sum of its proper divisors (99794752).

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

93384416 is a wasteful number, since it uses less digits than its factorization.

93384416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 907 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 93384416 is about 9663.5612483183. The cubic root of 93384416 is about 453.6888810108.

The spelling of 93384416 in words is "ninety-three million, three hundred eighty-four thousand, four hundred sixteen".