216968 has 16 divisors (see below), whose sum is σ = 418380. Its totient is φ = 105408.

The previous prime is 216967. The next prime is 216973. The reversal of 216968 is 869612.

216968 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 158404 + 58564 = 398^2 + 242^2 .

It is a super-2 number, since 2×216968² = 94150226048, which contains 22 as substring.

It is a plaindrome in base 13 and base 15.

It is not an unprimeable number, because it can be changed into a prime (216967) 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, 71 + ... + 662.

2²¹⁶⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

216968 is a deficient number, since it is larger than the sum of its proper divisors (201412).

216968 is a wasteful number, since it uses less digits than its factorization.

216968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 772 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The square root of 216968 is about 465.7982395845. The cubic root of 216968 is about 60.0894960708.

The spelling of 216968 in words is "two hundred sixteen thousand, nine hundred sixty-eight".