320214720 has 224 divisors, whose sum is σ = 1230709248. Its totient is φ = 68861952.

The previous prime is 320214707. The next prime is 320214731. The reversal of 320214720 is 27412023.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112839 + ... + 115641.

Almost surely, 2^320214720 is an apocalyptic number.

320214720 is a gapful number since it is divisible by the number (30) 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 320214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615354624).

320214720 is an abundant number, since it is smaller than the sum of its proper divisors (910494528).

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

320214720 is a wasteful number, since it uses less digits than its factorization.

320214720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 320214720 is about 17894.5444200181. The cubic root of 320214720 is about 684.1433303136.

Adding to 320214720 its reverse (27412023), we get a palindrome (347626743).

The spelling of 320214720 in words is "three hundred twenty million, two hundred fourteen thousand, seven hundred twenty".