210240 has 84 divisors (see below), whose sum is σ = 733044. Its totient is φ = 55296.

The previous prime is 210233. The next prime is 210241. The reversal of 210240 is 42012.

It can be written as a sum of positive squares in 2 ways, for example, as 97344 + 112896 = 312^2 + 336^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210241) by changing a digit.

210240 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 2844 + ... + 2916.

2²¹⁰²⁴⁰ is an apocalyptic number.

210240 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 210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366522).

210240 is an abundant number, since it is smaller than the sum of its proper divisors (522804).

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

210240 is a wasteful number, since it uses less digits than its factorization.

210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 210240 is about 458.5193561890. The cubic root of 210240 is about 59.4618544192.

Adding to 210240 its reverse (42012), we get a palindrome (252252).

The spelling of 210240 in words is "two hundred ten thousand, two hundred forty", and thus it is an iban number.