268418016 has 192 divisors, whose sum is σ = 838252800. Its totient is φ = 83317248.

The previous prime is 268418011. The next prime is 268418039. The reversal of 268418016 is 610814862.

268418016 = 103³ + 104³ + ... + 185³.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268418011) 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, 1362430 + ... + 1362626.

It is an arithmetic number, because the mean of its divisors is an integer number (4365900).

Almost surely, 2^268418016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268418016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419126400).

268418016 is an abundant number, since it is smaller than the sum of its proper divisors (569834784).

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

268418016 is a wasteful number, since it uses less digits than its factorization.

268418016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 268418016 is about 16383.4677647927. The cubic root of 268418016 is about 645.0656071718.

The spelling of 268418016 in words is "two hundred sixty-eight million, four hundred eighteen thousand, sixteen".