268626560 has 64 divisors (see below), whose sum is σ = 676015200. Its totient is φ = 101790720.

The previous prime is 268626557. The next prime is 268626593. The reversal of 268626560 is 65626862.

268626560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1115 + ... + 23205.

Almost surely, 2^268626560 is an apocalyptic number.

268626560 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 268626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338007600).

268626560 is an abundant number, since it is smaller than the sum of its proper divisors (407388640).

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

268626560 is a wasteful number, since it uses less digits than its factorization.

268626560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22129 (or 22117 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The square root of 268626560 is about 16389.8309936375. The cubic root of 268626560 is about 645.2326224613.

The spelling of 268626560 in words is "two hundred sixty-eight million, six hundred twenty-six thousand, five hundred sixty".