268008832 has 192 divisors, whose sum is σ = 708145200. Its totient is φ = 99864576.

The previous prime is 268008827. The next prime is 268008887. The reversal of 268008832 is 238800862.

It is a junction number, because it is equal to n+sod(n) for n = 268008791 and 268008800.

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 23 ways as a sum of consecutive naturals, for example, 1549098 + ... + 1549270.

Almost surely, 2^268008832 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 268008832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354072600).

268008832 is an abundant number, since it is smaller than the sum of its proper divisors (440136368).

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

268008832 is a wasteful number, since it uses less digits than its factorization.

268008832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 268008832 is about 16370.9752916557. The cubic root of 268008832 is about 644.7376550623.

The spelling of 268008832 in words is "two hundred sixty-eight million, eight thousand, eight hundred thirty-two".