210010080 has 144 divisors (see below), whose sum is σ = 769623120. Its totient is φ = 47996928.

The previous prime is 210010069. The next prime is 210010081. The reversal of 210010080 is 80010012.

It is a happy number.

210010080 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210010081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19056 + ... + 27984.

It is an arithmetic number, because the mean of its divisors is an integer number (5344605).

Almost surely, 2^210010080 is an apocalyptic number.

210010080 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 210010080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384811560).

210010080 is an abundant number, since it is smaller than the sum of its proper divisors (559613040).

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

210010080 is a wasteful number, since it uses less digits than its factorization.

210010080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8961 (or 8946 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 210010080 is about 14491.7245350579. The cubic root of 210010080 is about 594.4017053993.

Adding to 210010080 its reverse (80010012), we get a palindrome (290020092).

The spelling of 210010080 in words is "two hundred ten million, ten thousand, eighty".