93506336 has 96 divisors (see below), whose sum is σ = 232025472. Its totient is φ = 36034560.

The previous prime is 93506333. The next prime is 93506393. The reversal of 93506336 is 63360539.

It is a junction number, because it is equal to n+sod(n) for n = 93506296 and 93506305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93506333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337430 + ... + 337706.

It is an arithmetic number, because the mean of its divisors is an integer number (2416932).

Almost surely, 2^93506336 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 93506336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116012736).

93506336 is an abundant number, since it is smaller than the sum of its proper divisors (138519136).

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

93506336 is a wasteful number, since it uses less digits than its factorization.

93506336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 35.

The square root of 93506336 is about 9669.8674241170. The cubic root of 93506336 is about 453.8862361877.

The spelling of 93506336 in words is "ninety-three million, five hundred six thousand, three hundred thirty-six".