268083018 has 144 divisors (see below), whose sum is σ = 717050880. Its totient is φ = 72055872.

The previous prime is 268083017. The next prime is 268083031. The reversal of 268083018 is 810380862.

It is not an unprimeable number, because it can be changed into a prime (268083017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1202055 + ... + 1202277.

It is an arithmetic number, because the mean of its divisors is an integer number (4979520).

Almost surely, 2^268083018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268083018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358525440).

268083018 is an abundant number, since it is smaller than the sum of its proper divisors (448967862).

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

268083018 is a wasteful number, since it uses less digits than its factorization.

268083018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

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

The square root of 268083018 is about 16373.2409131485. The cubic root of 268083018 is about 644.7971382950.

The spelling of 268083018 in words is "two hundred sixty-eight million, eighty-three thousand, eighteen".