180020 has 12 divisors (see below), whose sum is σ = 378084. Its totient is φ = 72000.

The previous prime is 180007. The next prime is 180023. The reversal of 180020 is 20081.

It can be written as a sum of positive squares in 2 ways, for example, as 47524 + 132496 = 218^2 + 364^2 .

It is a junction number, because it is equal to n+sod(n) for n = 179983 and 180010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4481 + ... + 4520.

It is an arithmetic number, because the mean of its divisors is an integer number (31507).

2¹⁸⁰⁰²⁰ is an apocalyptic number.

180020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180020 is an abundant number, since it is smaller than the sum of its proper divisors (198064).

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

180020 is a wasteful number, since it uses less digits than its factorization.

180020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010 (or 9008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 180020 is about 424.2876382833. The cubic root of 180020 is about 56.4642528466.

The spelling of 180020 in words is "one hundred eighty thousand, twenty".