216671616 has 192 divisors, whose sum is σ = 722510880. Its totient is φ = 61046784.

The previous prime is 216671603. The next prime is 216671621. The reversal of 216671616 is 616176612.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 782070 + ... + 782346.

Almost surely, 2^216671616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216671616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361255440).

216671616 is an abundant number, since it is smaller than the sum of its proper divisors (505839264).

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

216671616 is a wasteful number, since it uses less digits than its factorization.

216671616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 386 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 216671616 is about 14719.7695634137. The cubic root of 216671616 is about 600.6212232475.

The spelling of 216671616 in words is "two hundred sixteen million, six hundred seventy-one thousand, six hundred sixteen".