93093120 has 108 divisors (see below), whose sum is σ = 322132356. Its totient is φ = 24821760.

The previous prime is 93093101. The next prime is 93093127. The reversal of 93093120 is 2139039.

It can be written as a sum of positive squares in 2 ways, for example, as 32626944 + 60466176 = 5712^2 + 7776^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93093127) 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 11 ways as a sum of consecutive naturals, for example, 7480 + ... + 15560.

It is an arithmetic number, because the mean of its divisors is an integer number (2982707).

Almost surely, 2^93093120 is an apocalyptic number.

93093120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161066178).

93093120 is an abundant number, since it is smaller than the sum of its proper divisors (229039236).

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

93093120 is a wasteful number, since it uses less digits than its factorization.

93093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8108 (or 8091 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 93093120 is about 9648.4776001191. The cubic root of 93093120 is about 453.2166558625.

The spelling of 93093120 in words is "ninety-three million, ninety-three thousand, one hundred twenty".