180401085 has 48 divisors (see below), whose sum is σ = 324747696. Its totient is φ = 92565504.

The previous prime is 180401057. The next prime is 180401149. The reversal of 180401085 is 580104081.

180401085 is a `hidden beast` number, since 180 + 401 + 0 + 85 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4334724 + 176066361 = 2082^2 + 13269^2 .

It is not a de Polignac number, because 180401085 - 2⁶ = 180401021 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160947 + ... + 162063.

It is an arithmetic number, because the mean of its divisors is an integer number (6765577).

Almost surely, 2^180401085 is an apocalyptic number.

180401085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

180401085 is a deficient number, since it is larger than the sum of its proper divisors (144346611).

180401085 is a wasteful number, since it uses less digits than its factorization.

180401085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 180401085 is about 13431.3471029529. The cubic root of 180401085 is about 565.0406789308.

The spelling of 180401085 in words is "one hundred eighty million, four hundred one thousand, eighty-five".