180243360 has 192 divisors, whose sum is σ = 688383360. Its totient is φ = 43683840.

The previous prime is 180243359. The next prime is 180243361. The reversal of 180243360 is 63342081.

It is a happy number.

180243360 is digitally balanced in base 2, 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 (180243359) and next prime (180243361).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180243361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45624 + ... + 49416.

It is an arithmetic number, because the mean of its divisors is an integer number (3585330).

Almost surely, 2^180243360 is an apocalyptic number.

180243360 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 180243360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344191680).

180243360 is an abundant number, since it is smaller than the sum of its proper divisors (508140000).

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

180243360 is a wasteful number, since it uses less digits than its factorization.

180243360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 180243360 is about 13425.4742932978. The cubic root of 180243360 is about 564.8759588820.

The spelling of 180243360 in words is "one hundred eighty million, two hundred forty-three thousand, three hundred sixty".