268003008 has 168 divisors, whose sum is σ = 945639968. Its totient is φ = 70668288.

The previous prime is 268003003. The next prime is 268003009. The reversal of 268003008 is 800300862.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×268003008² = 143651224594096128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268003003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49860 + ... + 54972.

Almost surely, 2^268003008 is an apocalyptic number.

268003008 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 268003008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472819984).

268003008 is an abundant number, since it is smaller than the sum of its proper divisors (677636960).

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

268003008 is a wasteful number, since it uses less digits than its factorization.

268003008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5151 (or 5138 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 268003008 is about 16370.7974149093. The cubic root of 268003008 is about 644.7329848440.

The spelling of 268003008 in words is "two hundred sixty-eight million, three thousand, eight".