268087968 has 120 divisors (see below), whose sum is σ = 793371348. Its totient is φ = 88805376.

The previous prime is 268087957. The next prime is 268087979. The reversal of 268087968 is 869780862.

It is an interprime number because it is at equal distance from previous prime (268087957) and next prime (268087979).

It can be written as a sum of positive squares in 2 ways, for example, as 254338704 + 13749264 = 15948^2 + 3708^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 759280 + ... + 759632.

Almost surely, 2^268087968 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 268087968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396685674).

268087968 is an abundant number, since it is smaller than the sum of its proper divisors (525283380).

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

268087968 is a wasteful number, since it uses less digits than its factorization.

268087968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 268087968 is about 16373.3920737274. The cubic root of 268087968 is about 644.8011068744.

The spelling of 268087968 in words is "two hundred sixty-eight million, eighty-seven thousand, nine hundred sixty-eight".