218288880 has 120 divisors (see below), whose sum is σ = 739849968. Its totient is φ = 57673728.

The previous prime is 218288869. The next prime is 218288893. The reversal of 218288880 is 88882812.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 80019 + ... + 82701.

Almost surely, 2^218288880 is an apocalyptic number.

218288880 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 218288880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369924984).

218288880 is an abundant number, since it is smaller than the sum of its proper divisors (521561088).

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

218288880 is a wasteful number, since it uses less digits than its factorization.

218288880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 45.

The square root of 218288880 is about 14774.6025327249. The cubic root of 218288880 is about 602.1118911382. Note that the first 3 decimals are identical.

The spelling of 218288880 in words is "two hundred eighteen million, two hundred eighty-eight thousand, eight hundred eighty".