213885568 has 64 divisors (see below), whose sum is σ = 485934120. Its totient is φ = 92897280.

The previous prime is 213885559. The next prime is 213885589. The reversal of 213885568 is 865588312.

It can be written as a sum of positive squares in 4 ways, for example, as 150013504 + 63872064 = 12248^2 + 7992^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 24508 + ... + 32068.

Almost surely, 2^213885568 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 213885568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242967060).

213885568 is an abundant number, since it is smaller than the sum of its proper divisors (272048552).

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

213885568 is a wasteful number, since it uses less digits than its factorization.

213885568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7605 (or 7593 counting only the distinct ones).

The product of its digits is 460800, while the sum is 46.

The square root of 213885568 is about 14624.8271100892. The cubic root of 213885568 is about 598.0357692724.

The spelling of 213885568 in words is "two hundred thirteen million, eight hundred eighty-five thousand, five hundred sixty-eight".