180675648 has 84 divisors (see below), whose sum is σ = 521035788. Its totient is φ = 59857920.

The previous prime is 180675647. The next prime is 180675667. The reversal of 180675648 is 846576081.

It is a happy number.

180675648 is a `hidden beast` number, since 1 + 80 + 6 + 7 + 564 + 8 = 666.

180675648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 29680704 + 150994944 = 5448^2 + 12288^2 .

It is not an unprimeable number, because it can be changed into a prime (180675647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103390 + ... + 105122.

It is an arithmetic number, because the mean of its divisors is an integer number (6202807).

Almost surely, 2^180675648 is an apocalyptic number.

180675648 is a gapful number since it is divisible by the number (18) 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 180675648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260517894).

180675648 is an abundant number, since it is smaller than the sum of its proper divisors (340360140).

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

180675648 is a wasteful number, since it uses less digits than its factorization.

180675648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 180675648 is about 13441.5641946910. The cubic root of 180675648 is about 565.3271898189.

The spelling of 180675648 in words is "one hundred eighty million, six hundred seventy-five thousand, six hundred forty-eight".