216936 has 48 divisors (see below), whose sum is σ = 617760. Its totient is φ = 68640.

The previous prime is 216919. The next prime is 216947. The reversal of 216936 is 639612.

It is a happy number.

It is a super-2 number, since 2×216936² = 94122456192, which contains 22 as substring.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 216936.

It is an unprimeable number.

216936 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, 1591 + ... + 1721.

It is an arithmetic number, because the mean of its divisors is an integer number (12870).

2²¹⁶⁹³⁶ 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 216936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308880).

216936 is an abundant number, since it is smaller than the sum of its proper divisors (400824).

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

216936 is a wasteful number, since it uses less digits than its factorization.

216936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 159 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 216936 is about 465.7638886818. The cubic root of 216936 is about 60.0865417820.

The spelling of 216936 in words is "two hundred sixteen thousand, nine hundred thirty-six".