213209568 has 288 divisors, whose sum is σ = 739694592. Its totient is φ = 57369600.

The previous prime is 213209551. The next prime is 213209573. The reversal of 213209568 is 865902312.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1276621 + ... + 1276787.

It is an arithmetic number, because the mean of its divisors is an integer number (2568384).

Almost surely, 2^213209568 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 213209568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369847296).

213209568 is an abundant number, since it is smaller than the sum of its proper divisors (526485024).

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

213209568 is a wasteful number, since it uses less digits than its factorization.

213209568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 213209568 is about 14601.6974355723. The cubic root of 213209568 is about 597.4050599898.

The spelling of 213209568 in words is "two hundred thirteen million, two hundred nine thousand, five hundred sixty-eight".