180268 has 24 divisors (see below), whose sum is σ = 365904. Its totient is φ = 76800.

The previous prime is 180263. The next prime is 180281. The reversal of 180268 is 862081.

It is not an unprimeable number, because it can be changed into a prime (180263) by changing a digit.

180268 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, 628 + ... + 868.

It is an arithmetic number, because the mean of its divisors is an integer number (15246).

2¹⁸⁰²⁶⁸ is an apocalyptic number.

It is an amenable number.

180268 is an abundant number, since it is smaller than the sum of its proper divisors (185636).

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

180268 is a wasteful number, since it uses less digits than its factorization.

180268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 180268 is about 424.5797922652. The cubic root of 180268 is about 56.4901697989.

The spelling of 180268 in words is "one hundred eighty thousand, two hundred sixty-eight".