93523968 has 156 divisors (see below), whose sum is σ = 281115120. Its totient is φ = 29933568.

The previous prime is 93523961. The next prime is 93523979. The reversal of 93523968 is 86932539.

It is not an unprimeable number, because it can be changed into a prime (93523961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1585123 + ... + 1585181.

It is an arithmetic number, because the mean of its divisors is an integer number (1802020).

Almost surely, 2^93523968 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 93523968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140557560).

93523968 is an abundant number, since it is smaller than the sum of its proper divisors (187591152).

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

93523968 is a wasteful number, since it uses less digits than its factorization.

93523968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 93523968 is about 9670.7790792676. The cubic root of 93523968 is about 453.9147633781.

The spelling of 93523968 in words is "ninety-three million, five hundred twenty-three thousand, nine hundred sixty-eight".