268446680 has 64 divisors (see below), whose sum is σ = 622702080. Its totient is φ = 104089600.

The previous prime is 268446679. The next prime is 268446683. The reversal of 268446680 is 86644862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268446683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312812 + ... + 313668.

It is an arithmetic number, because the mean of its divisors is an integer number (9729720).

Almost surely, 2^268446680 is an apocalyptic number.

268446680 is a gapful number since it is divisible by the number (20) 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 268446680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311351040).

268446680 is an abundant number, since it is smaller than the sum of its proper divisors (354255400).

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

268446680 is a wasteful number, since it uses less digits than its factorization.

268446680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The square root of 268446680 is about 16384.3425257164. The cubic root of 268446680 is about 645.0885682515.

The spelling of 268446680 in words is "two hundred sixty-eight million, four hundred forty-six thousand, six hundred eighty".