180287120 has 80 divisors (see below), whose sum is σ = 453981360. Its totient is φ = 66189312.

The previous prime is 180287117. The next prime is 180287123. The reversal of 180287120 is 21782081.

180287120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (180287117) and next prime (180287123).

It can be written as a sum of positive squares in 8 ways, for example, as 512656 + 179774464 = 716^2 + 13408^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (180287123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237782 + ... + 238538.

It is an arithmetic number, because the mean of its divisors is an integer number (5674767).

Almost surely, 2^180287120 is an apocalyptic number.

180287120 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 180287120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226990680).

180287120 is an abundant number, since it is smaller than the sum of its proper divisors (273694240).

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

180287120 is a wasteful number, since it uses less digits than its factorization.

180287120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 180287120 is about 13427.1039319728. The cubic root of 180287120 is about 564.9216692515.

The spelling of 180287120 in words is "one hundred eighty million, two hundred eighty-seven thousand, one hundred twenty".