214968 has 48 divisors (see below), whose sum is σ = 592920. Its totient is φ = 64896.

The previous prime is 214967. The next prime is 214987. The reversal of 214968 is 869412.

It is a super-2 number, since 2×214968² = 92422482048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4030 + ... + 4082.

2²¹⁴⁹⁶⁸ 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 214968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296460).

214968 is an abundant number, since it is smaller than the sum of its proper divisors (377952).

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

214968 is a wasteful number, since it uses less digits than its factorization.

214968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 214968 is about 463.6464170033. The cubic root of 214968 is about 59.9042918581.

The spelling of 214968 in words is "two hundred fourteen thousand, nine hundred sixty-eight".