268560006 has 128 divisors (see below), whose sum is σ = 681246720. Its totient is φ = 69379200.

The previous prime is 268560001. The next prime is 268560011. The reversal of 268560006 is 600065862.

It is an interprime number because it is at equal distance from previous prime (268560001) and next prime (268560011).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268560001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 611535 + ... + 611973.

It is an arithmetic number, because the mean of its divisors is an integer number (5322240).

Almost surely, 2^268560006 is an apocalyptic number.

268560006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 268560006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340623360).

268560006 is an abundant number, since it is smaller than the sum of its proper divisors (412686714).

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

268560006 is a wasteful number, since it uses less digits than its factorization.

268560006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 268560006 is about 16387.8005235602. The cubic root of 268560006 is about 645.1793311822.

The spelling of 268560006 in words is "two hundred sixty-eight million, five hundred sixty thousand, six".