181424 has 40 divisors (see below), whose sum is σ = 401760. Its totient is φ = 78848.

The previous prime is 181421. The next prime is 181439. The reversal of 181424 is 424181.

181424 = T₁₆ + T₁₇ + ... + T₁₀₂.

181424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 181396 and 181405.

It is not an unprimeable number, because it can be changed into a prime (181421) 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 7 ways as a sum of consecutive naturals, for example, 6242 + ... + 6270.

It is an arithmetic number, because the mean of its divisors is an integer number (10044).

2¹⁸¹⁴²⁴ 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 181424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200880).

181424 is an abundant number, since it is smaller than the sum of its proper divisors (220336).

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

181424 is a wasteful number, since it uses less digits than its factorization.

181424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 71 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 181424 is about 425.9389627634. The cubic root of 181424 is about 56.6106636253.

The spelling of 181424 in words is "one hundred eighty-one thousand, four hundred twenty-four".