181180980 has 144 divisors (see below), whose sum is σ = 578869200. Its totient is φ = 45803520.

The previous prime is 181180939. The next prime is 181181027. The reversal of 181180980 is 89081181.

It can be written as a sum of positive squares in 8 ways, for example, as 48608784 + 132572196 = 6972^2 + 11514^2 .

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 47 ways as a sum of consecutive naturals, for example, 318136 + ... + 318704.

It is an arithmetic number, because the mean of its divisors is an integer number (4019925).

Almost surely, 2^181180980 is an apocalyptic number.

181180980 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 181180980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289434600).

181180980 is an abundant number, since it is smaller than the sum of its proper divisors (397688220).

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

181180980 is a wasteful number, since it uses less digits than its factorization.

181180980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

The square root of 181180980 is about 13460.3484353118. The cubic root of 181180980 is about 565.8537540387.

The spelling of 181180980 in words is "one hundred eighty-one million, one hundred eighty thousand, nine hundred eighty".