213663296 has 112 divisors (see below), whose sum is σ = 533716992. Its totient is φ = 82444800.

The previous prime is 213663287. The next prime is 213663319. The reversal of 213663296 is 692366312.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 941135 + ... + 941361.

Almost surely, 2^213663296 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 213663296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266858496).

213663296 is an abundant number, since it is smaller than the sum of its proper divisors (320053696).

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

213663296 is a wasteful number, since it uses less digits than its factorization.

213663296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 438 counting only the distinct ones).

The product of its digits is 69984, while the sum is 38.

The square root of 213663296 is about 14617.2260022208. The cubic root of 213663296 is about 597.8285359052.

The spelling of 213663296 in words is "two hundred thirteen million, six hundred sixty-three thousand, two hundred ninety-six".