214840 has 32 divisors (see below), whose sum is σ = 498960. Its totient is φ = 83200.

The previous prime is 214831. The next prime is 214849. The reversal of 214840 is 48412.

214840 = T₈₃ + T₈₄ + ... + T₁₂₂.

214840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

214840 is a nontrivial binomial coefficient, being equal to C(656, 2).

It is an interprime number because it is at equal distance from previous prime (214831) and next prime (214849).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214849) by changing a digit.

214840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1575 + ... + 1705.

2²¹⁴⁸⁴⁰ is an apocalyptic number.

214840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

214840 is the 655-th triangular number and also the 328-th hexagonal number.

214840 is the 219-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249480).

214840 is an abundant number, since it is smaller than the sum of its proper divisors (284120).

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

214840 is a wasteful number, since it uses less digits than its factorization.

214840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 214840 is about 463.5083602267. The cubic root of 214840 is about 59.8923997444.

The spelling of 214840 in words is "two hundred fourteen thousand, eight hundred forty".