180021248 has 96 divisors (see below), whose sum is σ = 402161760. Its totient is φ = 79872000.

The previous prime is 180021229. The next prime is 180021269. The reversal of 180021248 is 842120081.

180021248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1374143 + ... + 1374273.

It is an arithmetic number, because the mean of its divisors is an integer number (4189185).

Almost surely, 2^180021248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180021248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201080880).

180021248 is an abundant number, since it is smaller than the sum of its proper divisors (222140512).

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

180021248 is a wasteful number, since it uses less digits than its factorization.

180021248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 180021248 is about 13417.1997078377. The cubic root of 180021248 is about 564.6438332695.

The spelling of 180021248 in words is "one hundred eighty million, twenty-one thousand, two hundred forty-eight".