93991120 has 80 divisors (see below), whose sum is σ = 226860480. Its totient is φ = 36191232.

The previous prime is 93991111. The next prime is 93991127. The reversal of 93991120 is 2119939.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93991127) 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, 306007 + ... + 306313.

It is an arithmetic number, because the mean of its divisors is an integer number (2835756).

Almost surely, 2^93991120 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 93991120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113430240).

93991120 is an abundant number, since it is smaller than the sum of its proper divisors (132869360).

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

93991120 is a wasteful number, since it uses less digits than its factorization.

93991120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 34.

The square root of 93991120 is about 9694.9017529834. The cubic root of 93991120 is about 454.6692762306.

The spelling of 93991120 in words is "ninety-three million, nine hundred ninety-one thousand, one hundred twenty".