180520 has 16 divisors (see below), whose sum is σ = 406260. Its totient is φ = 72192.

The previous prime is 180511. The next prime is 180533. The reversal of 180520 is 25081.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 145924 + 34596 = 382^2 + 186^2 .

It is an Ulam number.

It is a plaindrome in base 11.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 180494 and 180503.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2217 + ... + 2296.

2¹⁸⁰⁵²⁰ is an apocalyptic number.

180520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180520 is an abundant number, since it is smaller than the sum of its proper divisors (225740).

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

180520 is a wasteful number, since it uses less digits than its factorization.

180520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4524 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 180520 is about 424.8764526306. The cubic root of 180520 is about 56.5164804301.

It can be divided in two parts, 1805 and 20, that multiplied together give a square (36100 = 190²).

The spelling of 180520 in words is "one hundred eighty thousand, five hundred twenty".