181888 has 48 divisors (see below), whose sum is σ = 436050. Its totient is φ = 75264.

The previous prime is 181873. The next prime is 181889. The reversal of 181888 is 888181.

It can be written as a sum of positive squares in only one way, i.e., 153664 + 28224 = 392^2 + 168^2 .

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

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (181889) by changing a digit.

181888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6258 + ... + 6286.

2¹⁸¹⁸⁸⁸ 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 181888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218025).

181888 is an abundant number, since it is smaller than the sum of its proper divisors (254162).

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

181888 is an equidigital number, since it uses as much as digits as its factorization.

181888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 38 counting only the distinct ones).

The product of its digits is 4096, while the sum is 34.

The square root of 181888 is about 426.4832939284. The cubic root of 181888 is about 56.6588839754.

The spelling of 181888 in words is "one hundred eighty-one thousand, eight hundred eighty-eight".