213630756 has 48 divisors (see below), whose sum is σ = 529959360. Its totient is φ = 66787200.

The previous prime is 213630749. The next prime is 213630779. The reversal of 213630756 is 657036312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18390 + ... + 27666.

It is an arithmetic number, because the mean of its divisors is an integer number (11040820).

Almost surely, 2^213630756 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 213630756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264979680).

213630756 is an abundant number, since it is smaller than the sum of its proper divisors (316328604).

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

213630756 is a wasteful number, since it uses less digits than its factorization.

213630756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9404 (or 9402 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 213630756 is about 14616.1128895476. The cubic root of 213630756 is about 597.7981854605.

The spelling of 213630756 in words is "two hundred thirteen million, six hundred thirty thousand, seven hundred fifty-six".