213720210 has 96 divisors (see below), whose sum is σ = 616299840. Its totient is φ = 50947200.

The previous prime is 213720187. The next prime is 213720217. The reversal of 213720210 is 12027312.

213720210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (213720217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58621 + ... + 62159.

It is an arithmetic number, because the mean of its divisors is an integer number (6419790).

Almost surely, 2^213720210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213720210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308149920).

213720210 is an abundant number, since it is smaller than the sum of its proper divisors (402579630).

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

213720210 is a wasteful number, since it uses less digits than its factorization.

213720210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3624 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 213720210 is about 14619.1726852103. The cubic root of 213720210 is about 597.8816128621.

Adding to 213720210 its reverse (12027312), we get a palindrome (225747522).

The spelling of 213720210 in words is "two hundred thirteen million, seven hundred twenty thousand, two hundred ten".