210830144 has 168 divisors, whose sum is σ = 528157440. Its totient is φ = 83026944.

The previous prime is 210830117. The next prime is 210830171. The reversal of 210830144 is 441038012.

It is an interprime number because it is at equal distance from previous prime (210830117) and next prime (210830171).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2668697 + ... + 2668775.

Almost surely, 2^210830144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210830144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264078720).

210830144 is an abundant number, since it is smaller than the sum of its proper divisors (317327296).

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

210830144 is a wasteful number, since it uses less digits than its factorization.

210830144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 210830144 is about 14519.9911845703. The cubic root of 210830144 is about 595.1743894827.

Adding to 210830144 its reverse (441038012), we get a palindrome (651868156).

The spelling of 210830144 in words is "two hundred ten million, eight hundred thirty thousand, one hundred forty-four".