180638820 has 36 divisors (see below), whose sum is σ = 547938300. Its totient is φ = 48170304.

The previous prime is 180638819. The next prime is 180638827. The reversal of 180638820 is 28836081.

180638820 is a `hidden beast` number, since 18 + 0 + 638 + 8 + 2 + 0 = 666.

180638820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 59814756 + 120824064 = 7734^2 + 10992^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (180638827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 501595 + ... + 501954.

Almost surely, 2^180638820 is an apocalyptic number.

180638820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180638820 is an abundant number, since it is smaller than the sum of its proper divisors (367299480).

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

180638820 is a wasteful number, since it uses less digits than its factorization.

180638820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003564 (or 1003559 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 180638820 is about 13440.1941950256. The cubic root of 180638820 is about 565.2887760745.

The spelling of 180638820 in words is "one hundred eighty million, six hundred thirty-eight thousand, eight hundred twenty".