214768 has 20 divisors (see below), whose sum is σ = 430528. Its totient is φ = 103680.

The previous prime is 214763. The next prime is 214771. The reversal of 214768 is 867412.

214768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

214768 is an admirable number.

It is a super-2 number, since 2×214768² = 92250587648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214763) 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, 280 + ... + 712.

2²¹⁴⁷⁶⁸ 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 214768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215264).

214768 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

214768 is a wasteful number, since it uses less digits than its factorization.

214768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 214768 is about 463.4306852162. The cubic root of 214768 is about 59.8857083545.

It can be divided in two parts, 21 and 4768, that multiplied together give a triangular number (100128 = T₄₄₇).

The spelling of 214768 in words is "two hundred fourteen thousand, seven hundred sixty-eight".