218204064 has 96 divisors (see below), whose sum is σ = 685419840. Its totient is φ = 67136256.

The previous prime is 218204053. The next prime is 218204069. The reversal of 218204064 is 460402812.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×218204064² = 95226027092232192, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (218204069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1519 + ... + 20945.

It is an arithmetic number, because the mean of its divisors is an integer number (7139790).

Almost surely, 2^218204064 is an apocalyptic number.

218204064 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 218204064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342709920).

218204064 is an abundant number, since it is smaller than the sum of its proper divisors (467215776).

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

218204064 is a wasteful number, since it uses less digits than its factorization.

218204064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19459 (or 19445 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 218204064 is about 14771.7319228315. The cubic root of 218204064 is about 602.0338976435.

Adding to 218204064 its reverse (460402812), we get a palindrome (678606876).

The spelling of 218204064 in words is "two hundred eighteen million, two hundred four thousand, sixty-four".