180086580 has 144 divisors (see below), whose sum is σ = 570810240. Its totient is φ = 45916416.

The previous prime is 180086567. The next prime is 180086587. The reversal of 180086580 is 85680081.

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

180086580 is a modest number, since divided by 86580 gives 180 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180086587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410001 + ... + 410439.

It is an arithmetic number, because the mean of its divisors is an integer number (3963960).

Almost surely, 2^180086580 is an apocalyptic number.

180086580 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 180086580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285405120).

180086580 is an abundant number, since it is smaller than the sum of its proper divisors (390723660).

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

180086580 is a wasteful number, since it uses less digits than its factorization.

180086580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 180086580 is about 13419.6341231794. The cubic root of 180086580 is about 564.7121304839.

The spelling of 180086580 in words is "one hundred eighty million, eighty-six thousand, five hundred eighty".