210120768 has 168 divisors, whose sum is σ = 707843136. Its totient is φ = 58752000.

The previous prime is 210120719. The next prime is 210120773. The reversal of 210120768 is 867021012.

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, 81093 + ... + 83643.

It is an arithmetic number, because the mean of its divisors is an integer number (4213352).

Almost surely, 2^210120768 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 210120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353921568).

210120768 is an abundant number, since it is smaller than the sum of its proper divisors (497722368).

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

210120768 is a wasteful number, since it uses less digits than its factorization.

210120768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 210120768 is about 14495.5430391552. The cubic root of 210120768 is about 594.5061155945.

The spelling of 210120768 in words is "two hundred ten million, one hundred twenty thousand, seven hundred sixty-eight".