180306560 has 128 divisors (see below), whose sum is σ = 497629440. Its totient is φ = 61194240.

The previous prime is 180306517. The next prime is 180306629. The reversal of 180306560 is 65603081.

180306560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 748040 + ... + 748280.

It is an arithmetic number, because the mean of its divisors is an integer number (3887730).

Almost surely, 2^180306560 is an apocalyptic number.

180306560 is a gapful number since it is divisible by the number (10) 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 180306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248814720).

180306560 is an abundant number, since it is smaller than the sum of its proper divisors (317322880).

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

180306560 is a wasteful number, since it uses less digits than its factorization.

180306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 180306560 is about 13427.8278213567. The cubic root of 180306560 is about 564.9419733135.

The spelling of 180306560 in words is "one hundred eighty million, three hundred six thousand, five hundred sixty".