213645390 has 192 divisors, whose sum is σ = 638254080. Its totient is φ = 45534720.

The previous prime is 213645361. The next prime is 213645451. The reversal of 213645390 is 93546312.

It is a Curzon number.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2400466 + ... + 2400554.

It is an arithmetic number, because the mean of its divisors is an integer number (3324240).

Almost surely, 2^213645390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213645390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319127040).

213645390 is an abundant number, since it is smaller than the sum of its proper divisors (424608690).

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

213645390 is a wasteful number, since it uses less digits than its factorization.

213645390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 213645390 is about 14616.6134928717. The cubic root of 213645390 is about 597.8118351475.

The spelling of 213645390 in words is "two hundred thirteen million, six hundred forty-five thousand, three hundred ninety".