218832768 has 192 divisors, whose sum is σ = 785416320. Its totient is φ = 56816640.

The previous prime is 218832743. The next prime is 218832769. The reversal of 218832768 is 867238812.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218832769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87471 + ... + 89937.

It is an arithmetic number, because the mean of its divisors is an integer number (4090710).

Almost surely, 2^218832768 is an apocalyptic number.

218832768 is a gapful number since it is divisible by the number (28) 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 218832768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392708160).

218832768 is an abundant number, since it is smaller than the sum of its proper divisors (566583552).

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

218832768 is a wasteful number, since it uses less digits than its factorization.

218832768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505 (or 2490 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 218832768 is about 14792.9972622184. The cubic root of 218832768 is about 602.6115498537.

The spelling of 218832768 in words is "two hundred eighteen million, eight hundred thirty-two thousand, seven hundred sixty-eight".