268817240 has 96 divisors (see below), whose sum is σ = 641543760. Its totient is φ = 101337600.

The previous prime is 268817221. The next prime is 268817249. The reversal of 268817240 is 42718862.

268817240 = T₁₉₆₀ + T₁₉₆₁ + ... + T₂₀₉₀.

It is a junction number, because it is equal to n+sod(n) for n = 268817194 and 268817203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268817249) 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 23 ways as a sum of consecutive naturals, for example, 2051975 + ... + 2052105.

Almost surely, 2^268817240 is an apocalyptic number.

268817240 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 268817240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320771880).

268817240 is an abundant number, since it is smaller than the sum of its proper divisors (372726520).

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

268817240 is a wasteful number, since it uses less digits than its factorization.

268817240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 268817240 is about 16395.6469832697. The cubic root of 268817240 is about 645.3852554908.

The spelling of 268817240 in words is "two hundred sixty-eight million, eight hundred seventeen thousand, two hundred forty".