180011320 has 128 divisors (see below), whose sum is σ = 449064000. Its totient is φ = 64696320.

The previous prime is 180011309. The next prime is 180011347. The reversal of 180011320 is 23110081.

It is a junction number, because it is equal to n+sod(n) for n = 180011294 and 180011303.

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 31 ways as a sum of consecutive naturals, for example, 1651426 + ... + 1651534.

Almost surely, 2^180011320 is an apocalyptic number.

180011320 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 180011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224532000).

180011320 is an abundant number, since it is smaller than the sum of its proper divisors (269052680).

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

180011320 is a wasteful number, since it uses less digits than its factorization.

180011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 180011320 is about 13416.8297298579. The cubic root of 180011320 is about 564.6334532226.

It can be divided in two parts, 18001 and 1320, that added together give a square (19321 = 139²).

The spelling of 180011320 in words is "one hundred eighty million, eleven thousand, three hundred twenty".