180496 has 20 divisors (see below), whose sum is σ = 362700. Its totient is φ = 86912.

The previous prime is 180491. The next prime is 180497. The reversal of 180496 is 694081.

It can be written as a sum of positive squares in 2 ways, for example, as 67600 + 112896 = 260^2 + 336^2 .

It is a plaindrome in base 11.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (180491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 270 + ... + 658.

It is an arithmetic number, because the mean of its divisors is an integer number (18135).

2¹⁸⁰⁴⁹⁶ is an apocalyptic number.

180496 is a gapful number since it is divisible by the number (16) 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 180496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181350).

180496 is an abundant number, since it is smaller than the sum of its proper divisors (182204).

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

180496 is a wasteful number, since it uses less digits than its factorization.

180496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 180496 is about 424.8482081873. The cubic root of 180496 is about 56.5139757110.

It can be divided in two parts, 180 and 496, that added together give a palindrome (676).

The spelling of 180496 in words is "one hundred eighty thousand, four hundred ninety-six".