93516768 has 120 divisors (see below), whose sum is σ = 278391960. Its totient is φ = 30792960.

The previous prime is 93516763. The next prime is 93516811. The reversal of 93516768 is 86761539.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93516763) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 282363 + ... + 282693.

It is an arithmetic number, because the mean of its divisors is an integer number (2319933).

Almost surely, 2^93516768 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 93516768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139195980).

93516768 is an abundant number, since it is smaller than the sum of its proper divisors (184875192).

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

93516768 is a wasteful number, since it uses less digits than its factorization.

93516768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 445 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 93516768 is about 9670.4068166753. The cubic root of 93516768 is about 453.9031147771.

The spelling of 93516768 in words is "ninety-three million, five hundred sixteen thousand, seven hundred sixty-eight".