218198064 has 160 divisors (see below), whose sum is σ = 675956736. Its totient is φ = 59351040.

The previous prime is 218198063. The next prime is 218198069. The reversal of 218198064 is 460891812.

It is a super-2 number, since 2×218198064² = 95220790266696192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (218198063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647304 + ... + 647640.

Almost surely, 2^218198064 is an apocalyptic number.

218198064 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 218198064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337978368).

218198064 is an abundant number, since it is smaller than the sum of its proper divisors (457758672).

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

218198064 is a wasteful number, since it uses less digits than its factorization.

218198064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 218198064 is about 14771.5288308286. The cubic root of 218198064 is about 602.0283795115.

The spelling of 218198064 in words is "two hundred eighteen million, one hundred ninety-eight thousand, sixty-four".