268795340 has 48 divisors (see below), whose sum is σ = 621933984. Its totient is φ = 96768000.

The previous prime is 268795339. The next prime is 268795361. The reversal of 268795340 is 43597862.

268795340 = 5793² + 5794² + ... + 5800².

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 268795291 and 268795300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16172 + ... + 28268.

It is an arithmetic number, because the mean of its divisors is an integer number (12956958).

Almost surely, 2^268795340 is an apocalyptic number.

268795340 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 268795340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310966992).

268795340 is an abundant number, since it is smaller than the sum of its proper divisors (353138644).

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

268795340 is a wasteful number, since it uses less digits than its factorization.

268795340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12218 (or 12216 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 268795340 is about 16394.9791094713. The cubic root of 268795340 is about 645.3677289351.

The spelling of 268795340 in words is "two hundred sixty-eight million, seven hundred ninety-five thousand, three hundred forty".