93538368 has 448 divisors, whose sum is σ = 370636800. Its totient is φ = 22394880.

The previous prime is 93538363. The next prime is 93538397. The reversal of 93538368 is 86383539.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (93538363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2528046 + ... + 2528082.

Almost surely, 2^93538368 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 93538368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185318400).

93538368 is an abundant number, since it is smaller than the sum of its proper divisors (277098432).

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

93538368 is a wasteful number, since it uses less digits than its factorization.

93538368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 79 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 93538368 is about 9671.5235614664. The cubic root of 93538368 is about 453.9380587867.

The spelling of 93538368 in words is "ninety-three million, five hundred thirty-eight thousand, three hundred sixty-eight".