180920 has 16 divisors (see below), whose sum is σ = 407160. Its totient is φ = 72352.

The previous prime is 180907. The next prime is 180949. The reversal of 180920 is 29081.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 180892 and 180901.

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 180920.

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, 2222 + ... + 2301.

2¹⁸⁰⁹²⁰ is an apocalyptic number.

180920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180920 is an abundant number, since it is smaller than the sum of its proper divisors (226240).

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

180920 is a wasteful number, since it uses less digits than its factorization.

180920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4534 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 180920 is about 425.3469172335. The cubic root of 180920 is about 56.5581931033.

It can be divided in two parts, 180 and 920, that multiplied together give a triangular number (165600 = T₅₇₅).

The spelling of 180920 in words is "one hundred eighty thousand, nine hundred twenty".