268963968 has 256 divisors, whose sum is σ = 904780800. Its totient is φ = 68898816.

The previous prime is 268963913. The next prime is 268963969. The reversal of 268963968 is 869369862.

It is not an unprimeable number, because it can be changed into a prime (268963969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1502503 + ... + 1502681.

It is an arithmetic number, because the mean of its divisors is an integer number (3534300).

Almost surely, 2^268963968 is an apocalyptic number.

268963968 is a gapful number since it is divisible by the number (28) 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 268963968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452390400).

268963968 is an abundant number, since it is smaller than the sum of its proper divisors (635816832).

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

268963968 is a wasteful number, since it uses less digits than its factorization.

268963968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 247 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 57.

The square root of 268963968 is about 16400.1209751636. The cubic root of 268963968 is about 645.5026572662.

The spelling of 268963968 in words is "two hundred sixty-eight million, nine hundred sixty-three thousand, nine hundred sixty-eight".