216756 has 36 divisors (see below), whose sum is σ = 570752. Its totient is φ = 71928.

The previous prime is 216751. The next prime is 216757. The reversal of 216756 is 657612.

216756 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216751) by changing a digit.

216756 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 861 + ... + 1083.

2²¹⁶⁷⁵⁶ 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 216756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285376).

216756 is an abundant number, since it is smaller than the sum of its proper divisors (353996).

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

216756 is a wasteful number, since it uses less digits than its factorization.

216756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 228 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 216756 is about 465.5706176296. The cubic root of 216756 is about 60.0699184918.

The spelling of 216756 in words is "two hundred sixteen thousand, seven hundred fifty-six".