180853120 has 192 divisors, whose sum is σ = 516283200. Its totient is φ = 60383232.

The previous prime is 180853109. The next prime is 180853121. The reversal of 180853120 is 21358081.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180853121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2289241 + ... + 2289319.

It is an arithmetic number, because the mean of its divisors is an integer number (2688975).

Almost surely, 2^180853120 is an apocalyptic number.

180853120 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 180853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258141600).

180853120 is an abundant number, since it is smaller than the sum of its proper divisors (335430080).

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

180853120 is an equidigital number, since it uses as much as digits as its factorization.

180853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 180853120 is about 13448.1641869811. The cubic root of 180853120 is about 565.5122302783.

The spelling of 180853120 in words is "one hundred eighty million, eight hundred fifty-three thousand, one hundred twenty".