218026368 has 192 divisors, whose sum is σ = 755289600. Its totient is φ = 58973184.

The previous prime is 218026363. The next prime is 218026409. The reversal of 218026368 is 863620812.

218026368 is a `hidden beast` number, since 2 + 18 + 0 + 2 + 636 + 8 = 666.

218026368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218026363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152505 + ... + 153927.

It is an arithmetic number, because the mean of its divisors is an integer number (3933800).

Almost surely, 2^218026368 is an apocalyptic number.

218026368 is a gapful number since it is divisible by the number (28) 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 218026368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377644800).

218026368 is an abundant number, since it is smaller than the sum of its proper divisors (537263232).

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

218026368 is a wasteful number, since it uses less digits than its factorization.

218026368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 218026368 is about 14765.7159663865. The cubic root of 218026368 is about 601.8704297619.

The spelling of 218026368 in words is "two hundred eighteen million, twenty-six thousand, three hundred sixty-eight".