180027360 has 240 divisors, whose sum is σ = 658627200. Its totient is φ = 46255104.

The previous prime is 180027359. The next prime is 180027361. The reversal of 180027360 is 63720081.

It is an interprime number because it is at equal distance from previous prime (180027359) and next prime (180027361).

It is a tau number, because it is divible by the number of its divisors (240).

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 (180027361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 375601 + ... + 376079.

It is an arithmetic number, because the mean of its divisors is an integer number (2744280).

Almost surely, 2^180027360 is an apocalyptic number.

180027360 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 180027360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329313600).

180027360 is an abundant number, since it is smaller than the sum of its proper divisors (478599840).

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

180027360 is a wasteful number, since it uses less digits than its factorization.

180027360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 180027360 is about 13417.4274732528. The cubic root of 180027360 is about 564.6502233746.

The spelling of 180027360 in words is "one hundred eighty million, twenty-seven thousand, three hundred sixty".