93840768 has 192 divisors, whose sum is σ = 320785920. Its totient is φ = 26749440.

The previous prime is 93840743. The next prime is 93840797. The reversal of 93840768 is 86704839.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 217513 + ... + 217943.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2^93840768 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 93840768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

93840768 is an abundant number, since it is smaller than the sum of its proper divisors (226945152).

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

93840768 is an equidigital number, since it uses as much as digits as its factorization.

93840768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 93840768 is about 9687.1444708954. The cubic root of 93840768 is about 454.4267110530.

The spelling of 93840768 in words is "ninety-three million, eight hundred forty thousand, seven hundred sixty-eight".