268713288 has 192 divisors, whose sum is σ = 820834560. Its totient is φ = 82031616.

The previous prime is 268713283. The next prime is 268713323. The reversal of 268713288 is 882317862.

It is a super-2 number, since 2×268713288² = 144413662295541888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268713281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1553170 + ... + 1553342.

It is an arithmetic number, because the mean of its divisors is an integer number (4275180).

Almost surely, 2^268713288 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 268713288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410417280).

268713288 is an abundant number, since it is smaller than the sum of its proper divisors (552121272).

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

268713288 is a wasteful number, since it uses less digits than its factorization.

268713288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 268713288 is about 16392.4765670109. The cubic root of 268713288 is about 645.3020543070.

The spelling of 268713288 in words is "two hundred sixty-eight million, seven hundred thirteen thousand, two hundred eighty-eight".