180916641 has 24 divisors (see below), whose sum is σ = 268992360. Its totient is φ = 117100800.

The previous prime is 180916627. The next prime is 180916661. The reversal of 180916641 is 146619081.

It is a happy number.

180916641 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 1 + 6 + 641 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67174416 + 113742225 = 8196^2 + 10665^2 .

It is not a de Polignac number, because 180916641 - 2⁶ = 180916577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 180916596 and 180916605.

It is not an unprimeable number, because it can be changed into a prime (180916621) 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 23 ways as a sum of consecutive naturals, for example, 83431 + ... + 85571.

It is an arithmetic number, because the mean of its divisors is an integer number (11208015).

Almost surely, 2^180916641 is an apocalyptic number.

It is an amenable number.

180916641 is a deficient number, since it is larger than the sum of its proper divisors (88075719).

180916641 is a wasteful number, since it uses less digits than its factorization.

180916641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 180916641 is about 13450.5256774596. The cubic root of 180916641 is about 565.5784307721.

The spelling of 180916641 in words is "one hundred eighty million, nine hundred sixteen thousand, six hundred forty-one".