218892096 has 84 divisors (see below), whose sum is σ = 630041412. Its totient is φ = 72658944.

The previous prime is 218892061. The next prime is 218892097. The reversal of 218892096 is 690298812.

It can be written as a sum of positive squares in 2 ways, for example, as 214329600 + 4562496 = 14640^2 + 2136^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218892097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168120 + ... + 169416.

It is an arithmetic number, because the mean of its divisors is an integer number (7500493).

Almost surely, 2^218892096 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 218892096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315020706).

218892096 is an abundant number, since it is smaller than the sum of its proper divisors (411149316).

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

218892096 is a wasteful number, since it uses less digits than its factorization.

218892096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 218892096 is about 14795.0023994591. The cubic root of 218892096 is about 602.6660031667. Note that the first 3 decimals are identical.

The spelling of 218892096 in words is "two hundred eighteen million, eight hundred ninety-two thousand, ninety-six".