216736 has 24 divisors (see below), whose sum is σ = 460404. Its totient is φ = 99840.

The previous prime is 216731. The next prime is 216743. The reversal of 216736 is 637612.

It can be written as a sum of positive squares in 2 ways, for example, as 197136 + 19600 = 444^2 + 140^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 216736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216731) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156 + ... + 676.

2²¹⁶⁷³⁶ is an apocalyptic number.

216736 is a gapful number since it is divisible by the number (26) 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 216736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230202).

216736 is an abundant number, since it is smaller than the sum of its proper divisors (243668).

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

216736 is a wasteful number, since it uses less digits than its factorization.

216736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 536 counting only the distinct ones).

The product of its digits is 1512, while the sum is 25.

The square root of 216736 is about 465.5491381154. The cubic root of 216736 is about 60.0680708915.

The spelling of 216736 in words is "two hundred sixteen thousand, seven hundred thirty-six".