218880144 has 200 divisors, whose sum is σ = 756201600. Its totient is φ = 59761152.

The previous prime is 218880131. The next prime is 218880227. The reversal of 218880144 is 441088812.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 218880099 and 218880108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 208132 + ... + 209180.

It is an arithmetic number, because the mean of its divisors is an integer number (3781008).

Almost surely, 2^218880144 is an apocalyptic number.

218880144 is a gapful number since it is divisible by the number (24) 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 218880144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378100800).

218880144 is an abundant number, since it is smaller than the sum of its proper divisors (537321456).

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

218880144 is a wasteful number, since it uses less digits than its factorization.

218880144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 218880144 is about 14794.5984737674. The cubic root of 218880144 is about 602.6550339946.

It can be divided in two parts, 218880 and 144, that added together give a square (219024 = 468²).

The spelling of 218880144 in words is "two hundred eighteen million, eight hundred eighty thousand, one hundred forty-four".