180790128 has 60 divisors (see below), whose sum is σ = 507190008. Its totient is φ = 60117120.

The previous prime is 180790091. The next prime is 180790139. The reversal of 180790128 is 821097081.

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

It is a junction number, because it is equal to n+sod(n) for n = 180790092 and 180790101.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 69426 + ... + 71982.

Almost surely, 2^180790128 is an apocalyptic number.

180790128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

180790128 is an abundant number, since it is smaller than the sum of its proper divisors (326399880).

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

180790128 is a wasteful number, since it uses less digits than its factorization.

180790128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 180790128 is about 13445.8219533058. The cubic root of 180790128 is about 565.4465657894.

The spelling of 180790128 in words is "one hundred eighty million, seven hundred ninety thousand, one hundred twenty-eight".