93781968 has 80 divisors (see below), whose sum is σ = 283362816. Its totient is φ = 26167680.

The previous prime is 93781957. The next prime is 93781991. The reversal of 93781968 is 86918739.

It is a self number, because there is not a number n which added to its sum of digits gives 93781968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11203 + ... + 17693.

Almost surely, 2^93781968 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 93781968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141681408).

93781968 is an abundant number, since it is smaller than the sum of its proper divisors (189580848).

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

93781968 is a wasteful number, since it uses less digits than its factorization.

93781968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6552 (or 6546 counting only the distinct ones).

The product of its digits is 653184, while the sum is 51.

The square root of 93781968 is about 9684.1090452349. The cubic root of 93781968 is about 454.3317776388.

It can be divided in two parts, 93781 and 968, that added together give a palindrome (94749).

The spelling of 93781968 in words is "ninety-three million, seven hundred eighty-one thousand, nine hundred sixty-eight".