268910340 has 96 divisors (see below), whose sum is σ = 775547136. Its totient is φ = 69588480.

The previous prime is 268910321. The next prime is 268910353. The reversal of 268910340 is 43019862.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 327130 + ... + 327950.

It is an arithmetic number, because the mean of its divisors is an integer number (8078616).

Almost surely, 2^268910340 is an apocalyptic number.

268910340 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 268910340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387773568).

268910340 is an abundant number, since it is smaller than the sum of its proper divisors (506636796).

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

268910340 is a wasteful number, since it uses less digits than its factorization.

268910340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 268910340 is about 16398.4859057170. The cubic root of 268910340 is about 645.4597527367.

The spelling of 268910340 in words is "two hundred sixty-eight million, nine hundred ten thousand, three hundred forty".