93984768 has 72 divisors (see below), whose sum is σ = 271498500. Its totient is φ = 31322112.

The previous prime is 93984763. The next prime is 93984769. The reversal of 93984768 is 86748939.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93984763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15883 + ... + 20981.

Almost surely, 2^93984768 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 93984768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135749250).

93984768 is an abundant number, since it is smaller than the sum of its proper divisors (177513732).

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

93984768 is a wasteful number, since it uses less digits than its factorization.

93984768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5127 (or 5104 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 93984768 is about 9694.5741525866. The cubic root of 93984768 is about 454.6590336875.

The spelling of 93984768 in words is "ninety-three million, nine hundred eighty-four thousand, seven hundred sixty-eight".