216553616 has 40 divisors (see below), whose sum is σ = 445250520. Its totient is φ = 101679104.

The previous prime is 216553607. The next prime is 216553627. The reversal of 216553616 is 616355612.

It can be written as a sum of positive squares in 4 ways, for example, as 44943616 + 171610000 = 6704^2 + 13100^2 .

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 7 ways as a sum of consecutive naturals, for example, 232640 + ... + 233568.

It is an arithmetic number, because the mean of its divisors is an integer number (11131263).

Almost surely, 2^216553616 is an apocalyptic number.

It is an amenable number.

216553616 is an abundant number, since it is smaller than the sum of its proper divisors (228696904).

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

216553616 is a wasteful number, since it uses less digits than its factorization.

216553616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1805 counting only the distinct ones).

The product of its digits is 32400, while the sum is 35.

The square root of 216553616 is about 14715.7608026225. The cubic root of 216553616 is about 600.5121700860.

The spelling of 216553616 in words is "two hundred sixteen million, five hundred fifty-three thousand, six hundred sixteen".