268526664 has 144 divisors (see below), whose sum is σ = 877640400. Its totient is φ = 76694688.

The previous prime is 268526659. The next prime is 268526669. The reversal of 268526664 is 466625862.

It is an interprime number because it is at equal distance from previous prime (268526659) and next prime (268526669).

It is not an unprimeable number, because it can be changed into a prime (268526669) 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 35 ways as a sum of consecutive naturals, for example, 93847 + ... + 96665.

It is an arithmetic number, because the mean of its divisors is an integer number (6094725).

Almost surely, 2^268526664 is an apocalyptic number.

268526664 is a gapful number since it is divisible by the number (24) 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 268526664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438820200).

268526664 is an abundant number, since it is smaller than the sum of its proper divisors (609113736).

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

268526664 is a wasteful number, since it uses less digits than its factorization.

268526664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2831 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 268526664 is about 16386.7832108684. The cubic root of 268526664 is about 645.1526301855.

The spelling of 268526664 in words is "two hundred sixty-eight million, five hundred twenty-six thousand, six hundred sixty-four".