180727560 has 288 divisors, whose sum is σ = 670302360. Its totient is φ = 41969664.

The previous prime is 180727553. The next prime is 180727571. The reversal of 180727560 is 65727081.

It can be written as a sum of positive squares in 4 ways, for example, as 118853604 + 61873956 = 10902^2 + 7866^2 .

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

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 71 ways as a sum of consecutive naturals, for example, 2475684 + ... + 2475756.

Almost surely, 2^180727560 is an apocalyptic number.

180727560 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 180727560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335151180).

180727560 is an abundant number, since it is smaller than the sum of its proper divisors (489574800).

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

180727560 is a wasteful number, since it uses less digits than its factorization.

180727560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 180727560 is about 13443.4950812651. The cubic root of 180727560 is about 565.3813281882.

The spelling of 180727560 in words is "one hundred eighty million, seven hundred twenty-seven thousand, five hundred sixty".