93534768 has 60 divisors (see below), whose sum is σ = 263707080. Its totient is φ = 30947328.

The previous prime is 93534757. The next prime is 93534769. The reversal of 93534768 is 86743539.

It is not an unprimeable number, because it can be changed into a prime (93534769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17680 + ... + 22352.

It is an arithmetic number, because the mean of its divisors is an integer number (4395118).

Almost surely, 2^93534768 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 93534768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131853540).

93534768 is an abundant number, since it is smaller than the sum of its proper divisors (170172312).

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

93534768 is a wasteful number, since it uses less digits than its factorization.

93534768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4826 (or 4817 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 93534768 is about 9671.3374462894. The cubic root of 93534768 is about 453.9322351587.

The spelling of 93534768 in words is "ninety-three million, five hundred thirty-four thousand, seven hundred sixty-eight".