268828560 has 480 divisors, whose sum is σ = 1215422208. Its totient is φ = 51425280.

The previous prime is 268828543. The next prime is 268828583. The reversal of 268828560 is 65828862.

268828560 is a `hidden beast` number, since 2 + 6 + 8 + 82 + 8 + 560 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 720534 + ... + 720906.

Almost surely, 2^268828560 is an apocalyptic number.

268828560 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 268828560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607711104).

268828560 is an abundant number, since it is smaller than the sum of its proper divisors (946593648).

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

268828560 is a wasteful number, since it uses less digits than its factorization.

268828560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 268828560 is about 16395.9921932160. The cubic root of 268828560 is about 645.3943145062.

It can be divided in two parts, 268 and 828560, that added together give a palindrome (828828).

The spelling of 268828560 in words is "two hundred sixty-eight million, eight hundred twenty-eight thousand, five hundred sixty".