181560 has 64 divisors (see below), whose sum is σ = 583200. Its totient is φ = 45056.

The previous prime is 181553. The next prime is 181603. The reversal of 181560 is 65181.

It is a plaindrome in base 11.

It is a zygodrome in base 11.

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 181560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1996 + ... + 2084.

2¹⁸¹⁵⁶⁰ is an apocalyptic number.

181560 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 181560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291600).

181560 is an abundant number, since it is smaller than the sum of its proper divisors (401640).

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

181560 is a wasteful number, since it uses less digits than its factorization.

181560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 116 counting only the distinct ones).

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

The square root of 181560 is about 426.0985801431. The cubic root of 181560 is about 56.6248056852.

It can be divided in two parts, 1815 and 60, that multiplied together give a square (108900 = 330²).

The spelling of 181560 in words is "one hundred eighty-one thousand, five hundred sixty".