268556760 has 96 divisors (see below), whose sum is σ = 874916640. Its totient is φ = 71442432.

The previous prime is 268556753. The next prime is 268556797. The reversal of 268556760 is 67655862.

268556760 is a `hidden beast` number, since 2 + 6 + 85 + 567 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232344 + ... + 233496.

It is an arithmetic number, because the mean of its divisors is an integer number (9113715).

Almost surely, 2^268556760 is an apocalyptic number.

268556760 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 268556760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437458320).

268556760 is an abundant number, since it is smaller than the sum of its proper divisors (606359880).

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

268556760 is a wasteful number, since it uses less digits than its factorization.

268556760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 268556760 is about 16387.7014861755. The cubic root of 268556760 is about 645.1767318121.

The spelling of 268556760 in words is "two hundred sixty-eight million, five hundred fifty-six thousand, seven hundred sixty".