213610656 has 96 divisors (see below), whose sum is σ = 656546688. Its totient is φ = 59535360.

The previous prime is 213610651. The next prime is 213610667. The reversal of 213610656 is 656016312.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (213610651) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23676 + ... + 31428.

It is an arithmetic number, because the mean of its divisors is an integer number (6839028).

Almost surely, 2^213610656 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 213610656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328273344).

213610656 is an abundant number, since it is smaller than the sum of its proper divisors (442936032).

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

213610656 is a wasteful number, since it uses less digits than its factorization.

213610656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7814 (or 7806 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 213610656 is about 14615.4252760568. The cubic root of 213610656 is about 597.7794364117.

Adding to 213610656 its reverse (656016312), we get a palindrome (869626968).

The spelling of 213610656 in words is "two hundred thirteen million, six hundred ten thousand, six hundred fifty-six".