218584968 has 192 divisors, whose sum is σ = 693350400. Its totient is φ = 56039040.

The previous prime is 218584967. The next prime is 218584969. The reversal of 218584968 is 869485812.

It is an interprime number because it is at equal distance from previous prime (218584967) and next prime (218584969).

It is a super-2 number, since 2×218584968² = 95558776471122048, which contains 22 as substring.

Its product of digits (1105920) is a multiple of the sum of its prime factors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 218584968.

It is not an unprimeable number, because it can be changed into a prime (218584967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4650721 + ... + 4650767.

It is an arithmetic number, because the mean of its divisors is an integer number (3611200).

Almost surely, 2^218584968 is an apocalyptic number.

218584968 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 218584968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346675200).

218584968 is an abundant number, since it is smaller than the sum of its proper divisors (474765432).

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

218584968 is a wasteful number, since it uses less digits than its factorization.

218584968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 109 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 51.

The square root of 218584968 is about 14784.6193052104. The cubic root of 218584968 is about 602.3840038856.

It can be divided in two parts, 2185 and 84968, that added together give a triangular number (87153 = T₄₁₇).

The spelling of 218584968 in words is "two hundred eighteen million, five hundred eighty-four thousand, nine hundred sixty-eight".