180849 has 8 divisors (see below), whose sum is σ = 251712. Its totient is φ = 115280.

The previous prime is 180847. The next prime is 180871. The reversal of 180849 is 948081.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 180849 - 2¹ = 180847 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180849.

It is not an unprimeable number, because it can be changed into a prime (180847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1242 + ... + 1379.

It is an arithmetic number, because the mean of its divisors is an integer number (31464).

2¹⁸⁰⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

180849 is a deficient number, since it is larger than the sum of its proper divisors (70863).

180849 is a wasteful number, since it uses less digits than its factorization.

180849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 180849 is about 425.2634477592. The cubic root of 180849 is about 56.5507935950.

The spelling of 180849 in words is "one hundred eighty thousand, eight hundred forty-nine".