218741120 has 128 divisors (see below), whose sum is σ = 573713280. Its totient is φ = 79257600.

The previous prime is 218741101. The next prime is 218741147. The reversal of 218741120 is 21147812.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 218741120.

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, 507305 + ... + 507735.

It is an arithmetic number, because the mean of its divisors is an integer number (4482135).

Almost surely, 2^218741120 is an apocalyptic number.

218741120 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 218741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286856640).

218741120 is an abundant number, since it is smaller than the sum of its proper divisors (354972160).

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

218741120 is a wasteful number, since it uses less digits than its factorization.

218741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 218741120 is about 14789.8992559111. The cubic root of 218741120 is about 602.5274127665.

Adding to 218741120 its reverse (21147812), we get a palindrome (239888932).

The spelling of 218741120 in words is "two hundred eighteen million, seven hundred forty-one thousand, one hundred twenty".