216916056 has 320 divisors, whose sum is σ = 768398400. Its totient is φ = 55738368.

The previous prime is 216916009. The next prime is 216916081. The reversal of 216916056 is 650619612.

216916056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 216916056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2236200 + ... + 2236296.

It is an arithmetic number, because the mean of its divisors is an integer number (2401245).

Almost surely, 2^216916056 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 216916056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384199200).

216916056 is an abundant number, since it is smaller than the sum of its proper divisors (551482344).

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

216916056 is a wasteful number, since it uses less digits than its factorization.

216916056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 216916056 is about 14728.0703420373. The cubic root of 216916056 is about 600.8470037451.

It can be divided in two parts, 2169 and 16056, that added together give a square (18225 = 135²).

The spelling of 216916056 in words is "two hundred sixteen million, nine hundred sixteen thousand, fifty-six".