180412560 has 240 divisors, whose sum is σ = 640673280. Its totient is φ = 45434880.

The previous prime is 180412513. The next prime is 180412571. The reversal of 180412560 is 65214081.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1316812 + ... + 1316948.

It is an arithmetic number, because the mean of its divisors is an integer number (2669472).

Almost surely, 2^180412560 is an apocalyptic number.

180412560 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 180412560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320336640).

180412560 is an abundant number, since it is smaller than the sum of its proper divisors (460260720).

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

180412560 is a wasteful number, since it uses less digits than its factorization.

180412560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 180412560 is about 13431.7742685023. The cubic root of 180412560 is about 565.0526590959.

The spelling of 180412560 in words is "one hundred eighty million, four hundred twelve thousand, five hundred sixty".