9381888 has 72 divisors (see below), whose sum is σ = 27149850. Its totient is φ = 3121152.

The previous prime is 9381881. The next prime is 9381899. The reversal of 9381888 is 8881839.

It can be written as a sum of positive squares in only one way, i.e., 6718464 + 2663424 = 2592^2 + 1632^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (9381881) 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 5 ways as a sum of consecutive naturals, for example, 18178 + ... + 18686.

Almost surely, 2^9381888 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 9381888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13574925).

9381888 is an abundant number, since it is smaller than the sum of its proper divisors (17767962).

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

9381888 is a wasteful number, since it uses less digits than its factorization.

9381888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 514 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 9381888 is about 3062.9867776404. The cubic root of 9381888 is about 210.9097942541.

The spelling of 9381888 in words is "nine million, three hundred eighty-one thousand, eight hundred eighty-eight".