181056 has 56 divisors (see below), whose sum is σ = 512064. Its totient is φ = 56320.

The previous prime is 181039. The next prime is 181061. The reversal of 181056 is 650181.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 181056.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4396 + ... + 4436.

It is an arithmetic number, because the mean of its divisors is an integer number (9144).

2¹⁸¹⁰⁵⁶ is an apocalyptic number.

181056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

181056 is the 246-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256032).

181056 is an abundant number, since it is smaller than the sum of its proper divisors (331008).

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

181056 is a wasteful number, since it uses less digits than its factorization.

181056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 181056 is about 425.5067567031. The cubic root of 181056 is about 56.5723614055.

The spelling of 181056 in words is "one hundred eighty-one thousand, fifty-six".