180287856 has 300 divisors, whose sum is σ = 646552368. Its totient is φ = 48190464.

The previous prime is 180287851. The next prime is 180287857. The reversal of 180287856 is 658782081.

It is a super-2 number, since 2×180287856² = 65007422042153472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180287851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1079485 + ... + 1079651.

Almost surely, 2^180287856 is an apocalyptic number.

180287856 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 180287856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323276184).

180287856 is an abundant number, since it is smaller than the sum of its proper divisors (466264512).

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

180287856 is a wasteful number, since it uses less digits than its factorization.

180287856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 180287856 is about 13427.1313391953. The cubic root of 180287856 is about 564.9224379916.

The spelling of 180287856 in words is "one hundred eighty million, two hundred eighty-seven thousand, eight hundred fifty-six".