268056288 has 72 divisors (see below), whose sum is σ = 769368600. Its totient is φ = 88521984.

The previous prime is 268056263. The next prime is 268056307. The reversal of 268056288 is 882650862.

268056288 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 562 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27123 + ... + 35661.

It is an arithmetic number, because the mean of its divisors is an integer number (10685675).

Almost surely, 2^268056288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268056288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384684300).

268056288 is an abundant number, since it is smaller than the sum of its proper divisors (501312312).

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

268056288 is a wasteful number, since it uses less digits than its factorization.

268056288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8664 (or 8653 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 268056288 is about 16372.4246219062. The cubic root of 268056288 is about 644.7757071223.

The spelling of 268056288 in words is "two hundred sixty-eight million, fifty-six thousand, two hundred eighty-eight".