180466560 has 384 divisors, whose sum is σ = 701719200. Its totient is φ = 42467328.

The previous prime is 180466549. The next prime is 180466567. The reversal of 180466560 is 65664081.

180466560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180466567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1860432 + ... + 1860528.

Almost surely, 2^180466560 is an apocalyptic number.

180466560 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 180466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350859600).

180466560 is an abundant number, since it is smaller than the sum of its proper divisors (521252640).

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

180466560 is a wasteful number, since it uses less digits than its factorization.

180466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 180466560 is about 13433.7842769638. The cubic root of 180466560 is about 565.1090295241.

The spelling of 180466560 in words is "one hundred eighty million, four hundred sixty-six thousand, five hundred sixty".