210307968 has 256 divisors, whose sum is σ = 694579200. Its totient is φ = 62208000.

The previous prime is 210307891. The next prime is 210307991. The reversal of 210307968 is 869703012.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1392693 + ... + 1392843.

It is an arithmetic number, because the mean of its divisors is an integer number (2713200).

Almost surely, 2^210307968 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 210307968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347289600).

210307968 is an abundant number, since it is smaller than the sum of its proper divisors (484271232).

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

210307968 is a wasteful number, since it uses less digits than its factorization.

210307968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 210307968 is about 14501.9987587918. The cubic root of 210307968 is about 594.6826149029.

Adding to 210307968 its sum of digits (36), we get a square (210308004 = 14502²).

The spelling of 210307968 in words is "two hundred ten million, three hundred seven thousand, nine hundred sixty-eight".