180360180 has 486 divisors, whose sum is σ = 757478358. Its totient is φ = 34594560.

The previous prime is 180360161. The next prime is 180360223. The reversal of 180360180 is 81063081.

It can be written as a sum of positive squares in 3 ways, for example, as 853776 + 179506404 = 924^2 + 13398^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 13873854 + ... + 13873866.

Almost surely, 2^180360180 is an apocalyptic number.

180360180 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 180360180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378739179).

180360180 is an abundant number, since it is smaller than the sum of its proper divisors (577118178).

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

180360180 is a wasteful number, since it uses less digits than its factorization.

180360180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 180360180 is about 13429.8242728637. The cubic root of 180360180 is about 564.9979690323.

The spelling of 180360180 in words is "one hundred eighty million, three hundred sixty thousand, one hundred eighty".