180520008 has 64 divisors (see below), whose sum is σ = 498648960. Its totient is φ = 54168576.

The previous prime is 180519973. The next prime is 180520033. The reversal of 180520008 is 800025081.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 180520008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235 + ... + 19002.

It is an arithmetic number, because the mean of its divisors is an integer number (7791390).

Almost surely, 2^180520008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180520008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249324480).

180520008 is an abundant number, since it is smaller than the sum of its proper divisors (318128952).

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

180520008 is a wasteful number, since it uses less digits than its factorization.

180520008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19286 (or 19282 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 180520008 is about 13435.7734425674. The cubic root of 180520008 is about 565.1648126493.

Adding to 180520008 its reverse (800025081), we get a palindrome (980545089).

The spelling of 180520008 in words is "one hundred eighty million, five hundred twenty thousand, eight".