218926656 has 168 divisors, whose sum is σ = 683712120. Its totient is φ = 66972672.

The previous prime is 218926633. The next prime is 218926661. The reversal of 218926656 is 656629812.

It can be written as a sum of positive squares in 4 ways, for example, as 25160256 + 193766400 = 5016^2 + 13920^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1265386 + ... + 1265558.

It is an arithmetic number, because the mean of its divisors is an integer number (4069715).

Almost surely, 2^218926656 is an apocalyptic number.

218926656 is a gapful number since it is divisible by the number (26) 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 218926656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341856060).

218926656 is an abundant number, since it is smaller than the sum of its proper divisors (464785464).

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

218926656 is a wasteful number, since it uses less digits than its factorization.

218926656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 191 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 218926656 is about 14796.1703153215. The cubic root of 218926656 is about 602.6977190081.

The spelling of 218926656 in words is "two hundred eighteen million, nine hundred twenty-six thousand, six hundred fifty-six".