180660480 has 576 divisors, whose sum is σ = 791175168. Its totient is φ = 33914880.

The previous prime is 180660449. The next prime is 180660499. The reversal of 180660480 is 84066081.

It is a Cunningham number, because it is equal to 13441²-1.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3843817 + ... + 3843863.

It is an arithmetic number, because the mean of its divisors is an integer number (1373568).

Almost surely, 2^180660480 is an apocalyptic number.

180660480 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 180660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395587584).

180660480 is an abundant number, since it is smaller than the sum of its proper divisors (610514688).

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

180660480 is a wasteful number, since it uses less digits than its factorization.

180660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 180660480 is about 13440.9999628004. Note that the first 4 decimals coincide. The cubic root of 180660480 is about 565.3113693456.

The spelling of 180660480 in words is "one hundred eighty million, six hundred sixty thousand, four hundred eighty".