180368307 has 24 divisors (see below), whose sum is σ = 305017440. Its totient is φ = 100552320.

The previous prime is 180368291. The next prime is 180368339. The reversal of 180368307 is 703863081.

It is not a de Polignac number, because 180368307 - 2⁴ = 180368291 is a prime.

It is not an unprimeable number, because it can be changed into a prime (180368407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32332 + ... + 37497.

It is an arithmetic number, because the mean of its divisors is an integer number (12709060).

Almost surely, 2^180368307 is an apocalyptic number.

180368307 is a deficient number, since it is larger than the sum of its proper divisors (124649133).

180368307 is a wasteful number, since it uses less digits than its factorization.

180368307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69883 (or 69880 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 180368307 is about 13430.1268422901. The cubic root of 180368307 is about 565.0064551433.

The spelling of 180368307 in words is "one hundred eighty million, three hundred sixty-eight thousand, three hundred seven".