93991968 has 96 divisors (see below), whose sum is σ = 313326720. Its totient is φ = 26853120.

The previous prime is 93991957. The next prime is 93991999. The reversal of 93991968 is 86919939.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1723 + ... + 13818.

It is an arithmetic number, because the mean of its divisors is an integer number (3263820).

Almost surely, 2^93991968 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 93991968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156663360).

93991968 is an abundant number, since it is smaller than the sum of its proper divisors (219334752).

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

93991968 is a wasteful number, since it uses less digits than its factorization.

93991968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15567 (or 15553 counting only the distinct ones).

The product of its digits is 944784, while the sum is 54.

The square root of 93991968 is about 9694.9454872114. The cubic root of 93991968 is about 454.6706435881.

The spelling of 93991968 in words is "ninety-three million, nine hundred ninety-one thousand, nine hundred sixty-eight".