216603264 has 64 divisors (see below), whose sum is σ = 583309440. Its totient is φ = 71202816.

The previous prime is 216603263. The next prime is 216603281. The reversal of 216603264 is 462306612.

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

It is not an unprimeable number, because it can be changed into a prime (216603263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24169 + ... + 31895.

It is an arithmetic number, because the mean of its divisors is an integer number (9114210).

Almost surely, 2^216603264 is an apocalyptic number.

216603264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216603264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291654720).

216603264 is an abundant number, since it is smaller than the sum of its proper divisors (366706176).

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

216603264 is an equidigital number, since it uses as much as digits as its factorization.

216603264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7817 (or 7805 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 216603264 is about 14717.4476047989. The cubic root of 216603264 is about 600.5580585679.

Adding to 216603264 its reverse (462306612), we get a palindrome (678909876).

The spelling of 216603264 in words is "two hundred sixteen million, six hundred three thousand, two hundred sixty-four".