214240 has 48 divisors (see below), whose sum is σ = 550368. Its totient is φ = 78336.

The previous prime is 214237. The next prime is 214243. The reversal of 214240 is 42412.

It is an interprime number because it is at equal distance from previous prime (214237) and next prime (214243).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 214240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2029 + ... + 2131.

It is an arithmetic number, because the mean of its divisors is an integer number (11466).

2²¹⁴²⁴⁰ is an apocalyptic number.

214240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275184).

214240 is an abundant number, since it is smaller than the sum of its proper divisors (336128).

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

214240 is a wasteful number, since it uses less digits than its factorization.

214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 214240 is about 462.8606701806. The cubic root of 214240 is about 59.8365924070.

Adding to 214240 its reverse (42412), we get a palindrome (256652).

It can be divided in two parts, 214 and 240, that multiplied together give a triangular number (51360 = T₃₂₀).

The spelling of 214240 in words is "two hundred fourteen thousand, two hundred forty", and thus it is an iban number.