218080512 has 180 divisors, whose sum is σ = 701163540. Its totient is φ = 67018752.

The previous prime is 218080487. The next prime is 218080519. The reversal of 218080512 is 215080812.

218080512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 113550336 + 104530176 = 10656^2 + 10224^2 .

It is a super-3 number, since 3×218080512³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218080519) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 269164 + ... + 269972.

It is an arithmetic number, because the mean of its divisors is an integer number (3895353).

Almost surely, 2^218080512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218080512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350581770).

218080512 is an abundant number, since it is smaller than the sum of its proper divisors (483083028).

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

218080512 is an equidigital number, since it uses as much as digits as its factorization.

218080512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 218080512 is about 14767.5492888969. The cubic root of 218080512 is about 601.9202478575.

The spelling of 218080512 in words is "two hundred eighteen million, eighty thousand, five hundred twelve".