268340736 has 80 divisors (see below), whose sum is σ = 732484368. Its totient is φ = 87244800.

The previous prime is 268340731. The next prime is 268340753. The reversal of 268340736 is 637043862.

It is a super-3 number, since 3×268340736³ (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 268340694 and 268340703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268340731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60846 + ... + 65106.

Almost surely, 2^268340736 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 268340736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366242184).

268340736 is an abundant number, since it is smaller than the sum of its proper divisors (464143632).

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

268340736 is an equidigital number, since it uses as much as digits as its factorization.

268340736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 268340736 is about 16381.1091199589. The cubic root of 268340736 is about 645.0036944684.

The spelling of 268340736 in words is "two hundred sixty-eight million, three hundred forty thousand, seven hundred thirty-six".