218496960 has 448 divisors, whose sum is σ = 892454400. Its totient is φ = 50181120.

The previous prime is 218496947. The next prime is 218496977. The reversal of 218496960 is 69694812.

It is a happy number.

It is a super-4 number, since 4×218496960⁴ (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11499831 + ... + 11499849.

Almost surely, 2^218496960 is an apocalyptic number.

218496960 is a gapful number since it is divisible by the number (20) 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 218496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446227200).

218496960 is an abundant number, since it is smaller than the sum of its proper divisors (673957440).

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

218496960 is a wasteful number, since it uses less digits than its factorization.

218496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 218496960 is about 14781.6426692029. The cubic root of 218496960 is about 602.3031478711.

The spelling of 218496960 in words is "two hundred eighteen million, four hundred ninety-six thousand, nine hundred sixty".