180320 has 72 divisors (see below), whose sum is σ = 517104. Its totient is φ = 59136.

The previous prime is 180317. The next prime is 180331. The reversal of 180320 is 23081.

Added to its reverse (23081) it gives a square (203401 = 451²).

180320 = T₃₅ + T₃₆ + ... + T₁₀₃.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 180295 and 180304.

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 180320.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7829 + ... + 7851.

It is an arithmetic number, because the mean of its divisors is an integer number (7182).

2¹⁸⁰³²⁰ is an apocalyptic number.

180320 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 180320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258552).

180320 is an abundant number, since it is smaller than the sum of its proper divisors (336784).

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

180320 is a wasteful number, since it uses less digits than its factorization.

180320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 180320 is about 424.6410248669. The cubic root of 180320 is about 56.4956009836.

180320 divided by its sum of digits (14) gives a triangular number (12880 = T₁₆₀).

Adding to 180320 its reverse (23081), we get a square (203401 = 451²).

It can be divided in two parts, 180 and 320, that multiplied together give a square (57600 = 240²).

The spelling of 180320 in words is "one hundred eighty thousand, three hundred twenty".