214344320 has 64 divisors (see below), whose sum is σ = 539416800. Its totient is φ = 81220608.

The previous prime is 214344289. The next prime is 214344343. The reversal of 214344320 is 23443412.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3347 + ... + 20973.

Almost surely, 2^214344320 is an apocalyptic number.

214344320 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 214344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269708400).

214344320 is an abundant number, since it is smaller than the sum of its proper divisors (325072480).

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

214344320 is a wasteful number, since it uses less digits than its factorization.

214344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17665 (or 17653 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 214344320 is about 14640.5027236089. The cubic root of 214344320 is about 598.4630291927.

Adding to 214344320 its reverse (23443412), we get a palindrome (237787732).

The spelling of 214344320 in words is "two hundred fourteen million, three hundred forty-four thousand, three hundred twenty".