218878968 has 128 divisors (see below), whose sum is σ = 690923520. Its totient is φ = 56127360.

The previous prime is 218878963. The next prime is 218878973. The reversal of 218878968 is 869878812.

It is an interprime number because it is at equal distance from previous prime (218878963) and next prime (218878973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218878963) 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, 152671 + ... + 154097.

It is an arithmetic number, because the mean of its divisors is an integer number (5397840).

Almost surely, 2^218878968 is an apocalyptic number.

218878968 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 218878968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345461760).

218878968 is an abundant number, since it is smaller than the sum of its proper divisors (472044552).

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

218878968 is a wasteful number, since it uses less digits than its factorization.

218878968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1533 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 57.

The square root of 218878968 is about 14794.5587294789. The cubic root of 218878968 is about 602.6539546770.

The spelling of 218878968 in words is "two hundred eighteen million, eight hundred seventy-eight thousand, nine hundred sixty-eight".