180921330 has 128 divisors (see below), whose sum is σ = 503884800. Its totient is φ = 46156032.

The previous prime is 180921319. The next prime is 180921331. The reversal of 180921330 is 33129081.

180921330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 180921294 and 180921303.

It is not an unprimeable number, because it can be changed into a prime (180921331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 672436 + ... + 672704.

It is an arithmetic number, because the mean of its divisors is an integer number (3936600).

Almost surely, 2^180921330 is an apocalyptic number.

180921330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 180921330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251942400).

180921330 is an abundant number, since it is smaller than the sum of its proper divisors (322963470).

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

180921330 is a wasteful number, since it uses less digits than its factorization.

180921330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 180921330 is about 13450.6999817853. The cubic root of 180921330 is about 565.5833169531.

The spelling of 180921330 in words is "one hundred eighty million, nine hundred twenty-one thousand, three hundred thirty".