210114320 has 60 divisors (see below), whose sum is σ = 529018596. Its totient is φ = 77575680.

The previous prime is 210114301. The next prime is 210114323. The reversal of 210114320 is 23411012.

It can be written as a sum of positive squares in 6 ways, for example, as 19784704 + 190329616 = 4448^2 + 13796^2 .

It is a junction number, because it is equal to n+sod(n) for n = 210114295 and 210114304.

It is not an unprimeable number, because it can be changed into a prime (210114323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5750 + ... + 21290.

Almost surely, 2^210114320 is an apocalyptic number.

210114320 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 210114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264509298).

210114320 is an abundant number, since it is smaller than the sum of its proper divisors (318904276).

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

210114320 is a wasteful number, since it uses less digits than its factorization.

210114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15580 (or 15561 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 210114320 is about 14495.3206242566. The cubic root of 210114320 is about 594.5000343066.

Adding to 210114320 its reverse (23411012), we get a palindrome (233525332).

The spelling of 210114320 in words is "two hundred ten million, one hundred fourteen thousand, three hundred twenty".