180245856 has 144 divisors (see below), whose sum is σ = 571463424. Its totient is φ = 48722688.

The previous prime is 180245843. The next prime is 180245869. The reversal of 180245856 is 658542081.

180245856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (180245843) and next prime (180245869).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242221 + ... + 242963.

It is an arithmetic number, because the mean of its divisors is an integer number (3968496).

Almost surely, 2^180245856 is an apocalyptic number.

180245856 is a gapful number since it is divisible by the number (16) 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 180245856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285731712).

180245856 is an abundant number, since it is smaller than the sum of its proper divisors (391217568).

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

180245856 is a wasteful number, since it uses less digits than its factorization.

180245856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 180245856 is about 13425.5672505857. The cubic root of 180245856 is about 564.8785663269.

The spelling of 180245856 in words is "one hundred eighty million, two hundred forty-five thousand, eight hundred fifty-six".