216512 has 28 divisors (see below), whose sum is σ = 457200. Its totient is φ = 101376.

The previous prime is 216509. The next prime is 216523. The reversal of 216512 is 215612.

It is a super-2 number, since 2×216512² = 93754892288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a plaindrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 989 + ... + 1187.

2²¹⁶⁵¹² 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 216512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228600).

216512 is an abundant number, since it is smaller than the sum of its proper divisors (240688).

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

216512 is a wasteful number, since it uses less digits than its factorization.

216512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 218 counting only the distinct ones).

The product of its digits is 120, while the sum is 17.

The square root of 216512 is about 465.3084998149. The cubic root of 216512 is about 60.0473699990.

Subtracting from 216512 its reverse (215612), we obtain a square (900 = 30²).

It can be divided in two parts, 216 and 512, that multiplied together give a cube (110592 = 48³).

The spelling of 216512 in words is "two hundred sixteen thousand, five hundred twelve".