210082008 has 64 divisors (see below), whose sum is σ = 540432000. Its totient is φ = 68026112.

The previous prime is 210082007. The next prime is 210082013. The reversal of 210082008 is 800280012.

210082008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210082007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125191 + ... + 126857.

It is an arithmetic number, because the mean of its divisors is an integer number (8444250).

Almost surely, 2^210082008 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 210082008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270216000).

210082008 is an abundant number, since it is smaller than the sum of its proper divisors (330349992).

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

210082008 is a wasteful number, since it uses less digits than its factorization.

210082008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 210082008 is about 14494.2060148185. The cubic root of 210082008 is about 594.4695580879.

The spelling of 210082008 in words is "two hundred ten million, eighty-two thousand, eight".