268750680 has 192 divisors, whose sum is σ = 900910080. Its totient is φ = 64078080.

The previous prime is 268750679. The next prime is 268750681. The reversal of 268750680 is 86057862.

It is an interprime number because it is at equal distance from previous prime (268750679) and next prime (268750681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268750681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1205049 + ... + 1205271.

It is an arithmetic number, because the mean of its divisors is an integer number (4692240).

Almost surely, 2^268750680 is an apocalyptic number.

268750680 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 268750680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450455040).

268750680 is an abundant number, since it is smaller than the sum of its proper divisors (632159400).

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

268750680 is a wasteful number, since it uses less digits than its factorization.

268750680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 268750680 is about 16393.6170505474. The cubic root of 268750680 is about 645.3319846161.

The spelling of 268750680 in words is "two hundred sixty-eight million, seven hundred fifty thousand, six hundred eighty".