268322560 has 288 divisors, whose sum is σ = 794707200. Its totient is φ = 85524480.

The previous prime is 268322539. The next prime is 268322563. The reversal of 268322560 is 65223862.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268322563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4547811 + ... + 4547869.

It is an arithmetic number, because the mean of its divisors is an integer number (2759400).

Almost surely, 2^268322560 is an apocalyptic number.

268322560 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 268322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397353600).

268322560 is an abundant number, since it is smaller than the sum of its proper divisors (526384640).

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

268322560 is a wasteful number, since it uses less digits than its factorization.

268322560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 268322560 is about 16380.5543251747. The cubic root of 268322560 is about 644.9891310790.

It can be divided in two parts, 26832 and 2560, that added together give a palindrome (29392).

The spelling of 268322560 in words is "two hundred sixty-eight million, three hundred twenty-two thousand, five hundred sixty".