268345000 has 320 divisors, whose sum is σ = 850227840. Its totient is φ = 76800000.

The previous prime is 268344991. The next prime is 268345001. The reversal of 268345000 is 543862.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 268345000.

It is not an unprimeable number, because it can be changed into a prime (268345001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6544980 + ... + 6545020.

It is an arithmetic number, because the mean of its divisors is an integer number (2656962).

Almost surely, 2^268345000 is an apocalyptic number.

268345000 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 268345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425113920).

268345000 is an abundant number, since it is smaller than the sum of its proper divisors (581882840).

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

268345000 is a wasteful number, since it uses less digits than its factorization.

268345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 268345000 is about 16381.2392693593. The cubic root of 268345000 is about 645.0071108725.

Adding to 268345000 its reverse (543862), we get a palindrome (268888862).

The spelling of 268345000 in words is "two hundred sixty-eight million, three hundred forty-five thousand".