180906 has 16 divisors (see below), whose sum is σ = 394848. Its totient is φ = 54800.

The previous prime is 180883. The next prime is 180907. The reversal of 180906 is 609081.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180906.

It is not an unprimeable number, because it can be changed into a prime (180907) by changing a digit.

180906 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1305 + ... + 1436.

It is an arithmetic number, because the mean of its divisors is an integer number (24678).

2¹⁸⁰⁹⁰⁶ is an apocalyptic number.

180906 is an abundant number, since it is smaller than the sum of its proper divisors (213942).

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

180906 is a wasteful number, since it uses less digits than its factorization.

180906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 180906 is about 425.3304597604. The cubic root of 180906 is about 56.5567341986.

Adding to 180906 its reverse (609081), we get a palindrome (789987).

The spelling of 180906 in words is "one hundred eighty thousand, nine hundred six".