8181888 has 128 divisors (see below), whose sum is σ = 25704000. Its totient is φ = 2273280.

The previous prime is 8181881. The next prime is 8181889. The reversal of 8181888 is 8881818.

It is a tau number, because it is divible by the number of its divisors (128).

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 (8181881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54838 + ... + 54986.

Almost surely, 2^8181888 is an apocalyptic number.

8181888 is a gapful number since it is divisible by the number (88) 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 8181888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12852000).

8181888 is an abundant number, since it is smaller than the sum of its proper divisors (17522112).

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

8181888 is a wasteful number, since it uses less digits than its factorization.

8181888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its digits is 32768, while the sum is 42.

The square root of 8181888 is about 2860.3999720319. The cubic root of 8181888 is about 201.5043890290.

The spelling of 8181888 in words is "eight million, one hundred eighty-one thousand, eight hundred eighty-eight".