180880128 has 360 divisors, whose sum is σ = 644031696. Its totient is φ = 49766400.

The previous prime is 180880123. The next prime is 180880199. The reversal of 180880128 is 821088081.

It is a happy number.

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 = 180880092 and 180880101.

It is not an unprimeable number, because it can be changed into a prime (180880123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2965218 + ... + 2965278.

Almost surely, 2^180880128 is an apocalyptic number.

180880128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180880128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322015848).

180880128 is an abundant number, since it is smaller than the sum of its proper divisors (463151568).

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

180880128 is a wasteful number, since it uses less digits than its factorization.

180880128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 180880128 is about 13449.1683014230. The cubic root of 180880128 is about 565.5403794454.

The spelling of 180880128 in words is "one hundred eighty million, eight hundred eighty thousand, one hundred twenty-eight".