216824664 has 192 divisors, whose sum is σ = 686361600. Its totient is φ = 55710720.

The previous prime is 216824659. The next prime is 216824717. The reversal of 216824664 is 466428612.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2744577 + ... + 2744655.

It is an arithmetic number, because the mean of its divisors is an integer number (3574800).

Almost surely, 2^216824664 is an apocalyptic number.

216824664 is a gapful number since it is divisible by the number (24) 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 216824664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343180800).

216824664 is an abundant number, since it is smaller than the sum of its proper divisors (469536936).

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

216824664 is a wasteful number, since it uses less digits than its factorization.

216824664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 139 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 216824664 is about 14724.9673683849. The cubic root of 216824664 is about 600.7626080820.

The spelling of 216824664 in words is "two hundred sixteen million, eight hundred twenty-four thousand, six hundred sixty-four".