181440 has 140 divisors (see below), whose sum is σ = 737616. Its totient is φ = 41472.

The previous prime is 181439. The next prime is 181457. The reversal of 181440 is 44181.

181440 = T₄₁ + T₄₂ + ... + T₁₀₄.

It is a Jordan-Polya number, since it can be written as 7! ⋅ (3!)².

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 181440.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25917 + ... + 25923.

2¹⁸¹⁴⁴⁰ is an apocalyptic number.

181440 is a gapful number since it is divisible by the number (10) 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 181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368808).

181440 is an abundant number, since it is smaller than the sum of its proper divisors (556176).

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

181440 is an equidigital number, since it uses as much as digits as its factorization.

181440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 181440 is about 425.9577443832. The cubic root of 181440 is about 56.6123277638.

The spelling of 181440 in words is "one hundred eighty-one thousand, four hundred forty".