180435216 has 160 divisors (see below), whose sum is σ = 531216000. Its totient is φ = 52695552.

The previous prime is 180435197. The next prime is 180435223. The reversal of 180435216 is 612534081.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3058195 + ... + 3058253.

It is an arithmetic number, because the mean of its divisors is an integer number (3320100).

Almost surely, 2^180435216 is an apocalyptic number.

180435216 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 180435216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265608000).

180435216 is an abundant number, since it is smaller than the sum of its proper divisors (350780784).

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

180435216 is a wasteful number, since it uses less digits than its factorization.

180435216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 180435216 is about 13432.6176153421. The cubic root of 180435216 is about 565.0763109917.

Adding to 180435216 its reverse (612534081), we get a palindrome (792969297).

The spelling of 180435216 in words is "one hundred eighty million, four hundred thirty-five thousand, two hundred sixteen".