218832096 has 48 divisors (see below), whose sum is σ = 656498304. Its totient is φ = 62523264.

The previous prime is 218832083. The next prime is 218832127. The reversal of 218832096 is 690238812.

It is a happy number.

218832096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162150 + ... + 163493.

It is an arithmetic number, because the mean of its divisors is an integer number (13677048).

Almost surely, 2^218832096 is an apocalyptic number.

It is an amenable number.

218832096 is an abundant number, since it is smaller than the sum of its proper divisors (437666208).

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

218832096 is a wasteful number, since it uses less digits than its factorization.

218832096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325663 (or 325655 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 218832096 is about 14792.9745487512. The cubic root of 218832096 is about 602.6109330122.

The spelling of 218832096 in words is "two hundred eighteen million, eight hundred thirty-two thousand, ninety-six".