180169216 has 40 divisors (see below), whose sum is σ = 361515924. Its totient is φ = 89702400.

The previous prime is 180169181. The next prime is 180169259. The reversal of 180169216 is 612961081.

It can be written as a sum of positive squares in 2 ways, for example, as 178489600 + 1679616 = 13360^2 + 1296^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 149416 + ... + 150616.

Almost surely, 2^180169216 is an apocalyptic number.

180169216 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 180169216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180757962).

180169216 is an abundant number, since it is smaller than the sum of its proper divisors (181346708).

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

180169216 is an equidigital number, since it uses as much as digits as its factorization.

180169216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 180169216 is about 13422.7126915538. The cubic root of 180169216 is about 564.7984934167.

It can be divided in two parts, 1801 and 69216, that added together give a palindrome (71017).

The spelling of 180169216 in words is "one hundred eighty million, one hundred sixty-nine thousand, two hundred sixteen".