268262848 has 84 divisors (see below), whose sum is σ = 624928392. Its totient is φ = 113917440.

The previous prime is 268262833. The next prime is 268262849. The reversal of 268262848 is 848262862.

It is a super-2 number, since 2×268262848² = 143929911234142208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 268262798 and 268262807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268262849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 410490 + ... + 411142.

Almost surely, 2^268262848 is an apocalyptic number.

268262848 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 268262848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312464196).

268262848 is an abundant number, since it is smaller than the sum of its proper divisors (356665544).

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

268262848 is a wasteful number, since it uses less digits than its factorization.

268262848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 793 counting only the distinct ones).

The product of its digits is 589824, while the sum is 46.

The square root of 268262848 is about 16378.7315748198. The cubic root of 268262848 is about 644.9412826383.

The spelling of 268262848 in words is "two hundred sixty-eight million, two hundred sixty-two thousand, eight hundred forty-eight".