216169120 has 48 divisors (see below), whose sum is σ = 511728840. Its totient is φ = 86293504.

The previous prime is 216169067. The next prime is 216169141. The reversal of 216169120 is 21961612.

216169120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 106254864 + 109914256 = 10308^2 + 10484^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103446 + ... + 105514.

Almost surely, 2^216169120 is an apocalyptic number.

216169120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216169120 is an abundant number, since it is smaller than the sum of its proper divisors (295559720).

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

216169120 is a wasteful number, since it uses less digits than its factorization.

216169120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 216169120 is about 14702.6909101702. The cubic root of 216169120 is about 600.1565517416.

The spelling of 216169120 in words is "two hundred sixteen million, one hundred sixty-nine thousand, one hundred twenty".