214320 has 80 divisors (see below), whose sum is σ = 714240. Its totient is φ = 52992.

The previous prime is 214309. The next prime is 214351. The reversal of 214320 is 23412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 214296 and 214305.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 214320.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4537 + ... + 4583.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

2²¹⁴³²⁰ is an apocalyptic number.

214320 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 214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357120).

214320 is an abundant number, since it is smaller than the sum of its proper divisors (499920).

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

214320 is a wasteful number, since it uses less digits than its factorization.

214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 214320 is about 462.9470812091. The cubic root of 214320 is about 59.8440394006.

214320 divided by its product of nonzero digits (48) gives a triangular number (4465 = T₉₄).

Adding to 214320 its reverse (23412), we get a palindrome (237732).

The spelling of 214320 in words is "two hundred fourteen thousand, three hundred twenty", and thus it is an iban number.