268789248 has 240 divisors, whose sum is σ = 956251296. Its totient is φ = 70778880.

The previous prime is 268789237. The next prime is 268789249. The reversal of 268789248 is 842987862.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 268789194 and 268789203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268789249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419008 + ... + 419648.

Almost surely, 2^268789248 is an apocalyptic number.

268789248 is a gapful number since it is divisible by the number (28) 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 268789248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478125648).

268789248 is an abundant number, since it is smaller than the sum of its proper divisors (687462048).

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

268789248 is a wasteful number, since it uses less digits than its factorization.

268789248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 666 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 268789248 is about 16394.7933198318. The cubic root of 268789248 is about 645.3628533423.

The spelling of 268789248 in words is "two hundred sixty-eight million, seven hundred eighty-nine thousand, two hundred forty-eight".