216616944 has 80 divisors (see below), whose sum is σ = 599818752. Its totient is φ = 67186944.

The previous prime is 216616927. The next prime is 216616949. The reversal of 216616944 is 449616612.

216616944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216616949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38197 + ... + 43499.

Almost surely, 2^216616944 is an apocalyptic number.

216616944 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 216616944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299909376).

216616944 is an abundant number, since it is smaller than the sum of its proper divisors (383201808).

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

216616944 is a wasteful number, since it uses less digits than its factorization.

216616944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5374 (or 5368 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 216616944 is about 14717.9123519608. The cubic root of 216616944 is about 600.5707014388.

It can be divided in two parts, 2166 and 16944, that added together give a triangular number (19110 = T₁₉₅).

The spelling of 216616944 in words is "two hundred sixteen million, six hundred sixteen thousand, nine hundred forty-four".