213630384 has 80 divisors (see below), whose sum is σ = 604675584. Its totient is φ = 64454400.

The previous prime is 213630359. The next prime is 213630413. The reversal of 213630384 is 483036312.

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, 142342 + ... + 143834.

Almost surely, 2^213630384 is an apocalyptic number.

213630384 is a gapful number since it is divisible by the number (24) 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 213630384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302337792).

213630384 is an abundant number, since it is smaller than the sum of its proper divisors (391045200).

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

213630384 is a wasteful number, since it uses less digits than its factorization.

213630384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 213630384 is about 14616.1001638604. The cubic root of 213630384 is about 597.7978384738.

Adding to 213630384 its reverse (483036312), we get a palindrome (696666696).

The spelling of 213630384 in words is "two hundred thirteen million, six hundred thirty thousand, three hundred eighty-four".