218246880 has 96 divisors (see below), whose sum is σ = 690850944. Its totient is φ = 57913856.

The previous prime is 218246857. The next prime is 218246911. The reversal of 218246880 is 88642812.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 107959 + ... + 109961.

It is an arithmetic number, because the mean of its divisors is an integer number (7196364).

Almost surely, 2^218246880 is an apocalyptic number.

218246880 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 218246880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345425472).

218246880 is an abundant number, since it is smaller than the sum of its proper divisors (472604064).

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

218246880 is a wasteful number, since it uses less digits than its factorization.

218246880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 218246880 is about 14773.1811063156. The cubic root of 218246880 is about 602.0732720974.

The spelling of 218246880 in words is "two hundred eighteen million, two hundred forty-six thousand, eight hundred eighty".